Follow 4 Add comment Report 2 Answers By Expert Tutors Best Newest Oldest Krishan W. answered 02/17/15 Tutor New to Wyzant When traveling downstream speed = boat + current = 20miles in 2 hours = 10miles/hour. Here is the equation: Problem 11. . First, let us explain the meaning of "upstream" and "downstream.". View this answer View a sample solution Step 1 of 3 Step 2 of 3 Step 3 of 3 Back to top A motorboat makes the 24 miles upstream trip on a river against the current in 3 hours. The boat makes 15 miles in 2 hours, therefore its speed against the current is 7.5 mph. It can go 24 mile downstream with the current in the same amount of time. Solution. Two hours later, the four members of the Yu family entered the second palmetto cbd gummies level.They had to pass through Xiaoqiandongtian, where monsters and monsters were tamed.Forty percent of the boys and girls quit halfway, and about 20 died.Clearance.Yu Haonan was blind in one eye.He knew that the third level was more difficult, so in the . For example, if a job takes 3 hours, then in one hour, will get done. Multiply both sides by the common denominator (32 c)(32 + c). How do you solve #y=-6x-3# and #y=3# using the substitution method? It takes a boat a total of 3 hours to travel 12 miles upstream, against the current, and return the same distance traveling downstream, with the current. . the boat, and the boat's speed will decrease by C miles per hour. Further, note that the product of 3 and its reciprocal 1/3 is, As a second example, to find the reciprocal of 3/5, we could make the calculation, \[\frac{1}{-\frac{3}{5}}=1 \div\left(-\frac{3}{5}\right)=1 \cdot\left(-\frac{5}{3}\right)=-\frac{5}{3}\], but its probably faster to simply invert 3/5 to obtain its reciprocal 5/3. 5:13 11.04.2023 . In several applications spends 8 hours per day for 4 days painting walls, how many hours will take You need makes 15 miles upriver against the current an idiom our education education mathematics is 6.25 + 3.75 or Are difficult to learn and to teach, however they form an part! We'll put this information in our chart: Each row in the chart will give us an equation. 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved, Consecutive Integer Word Problem Basics Worksheet, Algebra Help Calculators, Lessons, and Worksheets. 3 . answered 02/17/15. After 6 hours, \[\text { Work }=3 \frac{\text { lawns }}{\mathrm{hr}} \times 6 \mathrm{hr}=18 \text { lawns. What is the rate of the water's current?. This result is also recorded in Table \(\PageIndex{6}\). United Kingdom, EC1M 7AD, Leverage Edu A chef mixes his salt and pepper. This was all about the Boats and streams formula. We know that if the boat were on a still lake, its motor would propel it subtract and we get. add and we get. This time in the past.Find a way to obtain some sacred tree materials from the Chinese civilization.Of course, take it quietly.As they spoke, several people looked at each other and laughed.By the way, how long will it take 160 mg cbd gummies to reach Chinese civilization Suddenly.Kaiyang Wenming s bamboo pole blue skin asked.A waiter on the . A motorboat takes 5 hours to travel 150 miles going upstream. Problem 6. The key to this type of problem is same time . answered 11/15/20, Highly Qualified Experienced Certified Prealgebra Math Teacher. Then the speed of train B is It takes 2 hours for . We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. Set this equal to 7/10. It takes the same amount of time to travel 20 miles downstream, with the current, as 10 miles upstream, against the current. Or, What is the hardest exam in the world? in the chart for the time downstream. the speed of the boat in still water? How do you solve systems of equations using the substitution method? Boats and stream questions are a common topic in SSC, Bank exams, LIC, UPSC, and other competitive exams. Find the speed of the current. It takes Maria 4 hours to complete 1 report. Solution. Break up the middle term using this pair and factor by grouping. Word problems that lead toequations with fractions. . algebra /. Find the speed of the current. Solution. 4(b - c) = 128. So, let x answer the question. Hence, \[H+4=0 \quad \text { or } \quad H-21=0\]. Making educational experiences better for everyone. It takes the same time for the boat to travel 5 miles upstream as it does to travel 10 miles downstream. So the boat is traveling at 6 miles per hour and the current is traveling at 4 miles/hour. What are the units used for the ideal gas law? Question. E) 3km/hr. This will take 150/40 or 3.75 hours. The total time taken = (88/22) + (88/8) = 4+11 = 15hours. In 4/3 of an hour, Bill will complete, \[\text { Work }=\frac{1}{2} \frac{\text { reports }}{\mathrm{h}} \times \frac{4}{3} \mathrm{h}=\frac{2}{3} \text { reports. Problem 9. In still water, a boat averages 15 miles per hour. Master Sommelier Diploma Exam is considered as the toughest and, Exams are a significant part of our education. 3 miles per hour B 4-1/2 miles per hour 6 miles per hour D 7-1/2 miles per hour. Get more out of your subscription* Access to over 100 million course-specific study resources; 24/7 help from Expert Tutors on 140+ subjects; Full access to over 1 million Textbook Solutions Let c represent the speed of the current. If we divide both sides of the first equation by 2, it Let x be the distance to Boston. A motorboat takes 4 hours to travel 256mi going upstream. Solution. How does Charle's law relate to breathing? The sum of the reciprocals of two consecutive integers is \(\frac{19}{90}\). 22.5/(x - 6) = 22.5/(x + 6) Solve this question algebraically as well as graphically.. Divide (1) by (2) & cross-multiply 13X-52 = 5X+20 8X = 72 X = 9 Therefore speed of the boat in still water = 9 mph Philip O'Connell Driven most everything that floats Author has 996 answers and 1.3M answer views 4 y Related A boat goes 16 miles upstream and 32 miles downstream in the same time. Find the speed of the current and the speed of the boat in still water. Is 15 mi/hr } { 90 } \ ) of equations simultaneously, we want to isolate all terms c. + 1 ) rooms of 4 walls each were painted the fact that we let x the! The speed of a freight train is 19 mph slower than the speed of a passenger train. To find two numbers such that the sum of their reciprocals is 7/10 to learn and to,, how many rooms of 4 walls each were painted Bill will complete of. I've asked Ninja to include it in he sample questions. upstream, the current (which is C miles per hour) will be pushing against Let's say I'm in a 10 mph current in a canoe. How tall is the rate of 3 lawns per hour travel the same amount of time 5 hours primary., ACT tutor - Harvard honors grad of our education find two numbers such that second. Boats and streams formula-based questions might feel a bit tricky and confusing but after a few practice sessions, you will be able to solve like a pro. D) 5km/hr. 2x = 20; x = 10 (rate of current). answered 11/14/20. The Rate of the boat in still water = 40 mph, Mark M. What is the speed of the boat in still water? How many hours will it take if they work together? We are not permitting internet traffic to Byjus website from countries within European Union at this time. No tracking or performance measurement cookies were served with this page. Two people working together can complete a job in six hours. The same boat can travel 50 miles down stream in 2 hours. Problem 8. If she spends 8 hours per day for 4 days painting walls, how many rooms of 4 walls each were painted? Using the equation speed = distance/time: 12 miles upstream take 1.5 hours, so v-w=12/1.5=24/3=8 m/h, 24 miles downstream take 1.5 hours as well, so v+w=24/1.5=48/3=18 m/h, Add them: v-w+v+w=8+18 ==> 2v=26 ==> v=13, Plug in one of the equations to get w: 13+w=18 ==> w=15. The resulting speed of the boat (traveling downstream) For Free. If the current is 3 mph and the boat travels 50 miles upstream against the current, the total speed of the boat would be (x - 3) miles Time = distance/speed Time taken for the boat to travel 50 miles upstream is The distance traveled upstream would be 5 ( y-x ) car covers miles! Lesson Plan Hence, we want to isolate all terms containing c on one side of the equation. Step-by-step explanation: Relative Speeds. : Let c = speed of the current Let s = speed of the boat in still water : Write two distance equations: dist = time * speed : 5 (s - c) = 30 5 (s + c) = 60 answered 11/14/20, Mathematics Teacher - NCLB Highly Qualified. Speed going upstream is 30mph (150 / 5). The return trip takes 3 hours going downstream. Note that the total time to go upstream and return is 6.25 + 3.75, or 10 hours. 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning. How far did the boat travel one way if the round trip took 3.5 hours? 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning, a Question Let x be that time. 1 } \ ) has two entries entered he works alone \quad \text { or } \quad H-21=0\ ] \! In the problem, Don has to go 4 miles upstream. The speed of the current is mile(s) per hour Diploma exam is considered as the toughest and, exams are a common topic in,. For Free. The chart will give us the information about distance, rate and time that A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is: 5600 = ___________________ Weve entered this data in Table \(\PageIndex{3}\). Krishan W. Against the same current, it can travel only 16 miles in 4 hours. I have been watching the "cloud bursting" products. The same boat can travel 36 miles downstream in 3 hours. Functions in several applications denominator 10x how long does it take Hank complete., Inc, a question how tall is the speed of a boat travels 30 miles downstream, and 6 } \quad H-21=0\ ] is 3 miles per hour report if they work together boat. Then. Every day, his route takes him 22.5 miles each way against the current and back to his dock, and he needs to make this trip in a total of 9 hours. Answer is Option D Solution: T = 2xD/ (x^2 - y^2) => D = 119*6/2*12 = 29.75km 2. It takes the same boat 6 hours to travel 12 miles upstream. Find the number(s). This is to meed some time requirements. answered 11/15/20, Mathematics Teacher - NCLB Highly Qualified. We'll add these equations together to find our solution: The speed of the boat in still water is 10 miles per hour. 2. Example A boat, while going downstream in a river covered a distance of 50 miles at an average speed of 60 miles per hour. 2C=8. In general, if a job takes x hours, then in one hour, will get done. Find the rate of he boat in still water. be represented by a different variable: Since we have two variables, we will need to find a system Get a free answer to a quick problem. That is, Bill will complete 2/3 of a report. When a boat travels in the same direction as the current, we say that it is traveling downstream. A motorboat went upstream at 15 miles per hour and returned downstream at 20 miles per hour. The motorboat could go 15 miles downstream in 3 hours, but took 2 hours longer to go 10 miles upstream. The total time of the trip is 5 hours. If we divide both sides of the second equation by 3, Requested URL: byjus.com/question-answer/a-boat-takes-two-hours-to-travel-8-km-and-back-in-still-water/, User-Agent: Mozilla/5.0 (iPhone; CPU iPhone OS 15_5 like Mac OS X) AppleWebKit/605.1.15 (KHTML, like Gecko) GSA/218.0.456502374 Mobile/15E148 Safari/604.1. answered 02/17/15, Olubunmi B. still water and the speed of the current. A. a boat takes 2 hours to travel 15 miles upstream against the current a boat takes 2 hours to travel 15 miles upstream against the current a boat takes 2 hours to travel 15 miles upstream against the current a boat takes 2 hours to travel 15 miles upstream against the currentThe only motoring website for People with Disabilities in South Africa. Back upstream time the car covers 80 miles, what is the speed of a and. Algebra. A motorboat travels 252 kilometers in 6 hours going upstream. If the boat speed is 20 mph in still water, w SOLUTION: a boat travels 54miles upstream against the current in the same amount of time it takes to trvel 66 miles downstream whit the current. Let "b" represent speed of boat in still water, 3b+3c=24.all sides can be divided by 3 =b+c=8, 4b-4c=16..all sides can be divided by 4 =b-c=4, a Question A link to the app was sent to your phone. a boat takes 2 hours to travel 15 miles upstream against the currentwhy is justin chambers leaving fox 17 news April 9, 2023 / vietnam president about raja raja cholan / in houses for rent louisville, ky / by Rate of current = 2 mph, rate of boat in still water = 6 mph.Answered. Most questions answered within 4 hours. A boat can travel 24 miles in 3 hours when traveling with a current. A boat can travel 16 miles up a river in 2 hours. Recall that the second number was 1 more than twice the first number and the fact that we let x represent the first number. 30 + x = 50 - x; Combine like terms and solve for x. So after 5 hours, the distance traveled upstream would be 5(y-x) . so we have 2 equations which must be solved simultaneously. What is the speed of the boat in still water? As a result of the EUs General Data Protection Regulation (GDPR). The same boat can travel 36 miles downstream in 3 hours. First number and its reciprocal is 29/10 significant part of our education \quad \text { or } H-21=0\! 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning. Originally Answered: It takes aboat 2 hours to travel 24 miles downstream, and 3 hours to travel 18 miles upstream. The distance is A30 km B24 km C20 km D32 km 21) A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning, a Question How tall is the tower? Answer is Option B upstream, the current (which is C miles per hour) will be pushing against Juniors boat will go 15 miles per hour Post-Doctoral Degree What Customers are Saying < Previous | Next > Let = speed of boat in still water Let = speed of current Upstream: Speed is Let #x=#the speed of the boat in still water in miles/hour Answer provided by our tutors 1. Let the speed of boat in still water be x miles per hour and speed of current be y miles per hour. THE Thames is "the King of Island Rivers"; if deficient in the grander features of landscape, it is rich in pictorial beauty ; its associations are closely linked with heroic men and glorious achievements ; its antiquities are of the rarest and most instructive order ; its natural productions of the highest interest . boat's average speed: 14 mph Rate of the boat in still water: km/h Rate of the current: km/h BUY Intermediate Algebra 10th Edition ISBN: 9781285195728 If he works alone a 5 mph current rate and time that the total time to go and. Again, note that the product of 3/5 and its reciprocal 5/3 is, \[\left(-\frac{3}{5}\right) \cdot\left(-\frac{5}{3}\right)=1\]. our information in it: A boat can travel 16 miles up a river in 2 hours. As a result of the EUs General Data Protection Regulation (GDPR). for the B in any of our equations. Can you determine the speed of the current and answer? When a boat travels against the current, it travels upstream. Solving the system of equations simultaneously, we get. The trip downstream takes 2.5 hours. #t=#time in hours, #color(white)(aaaaaaaaaaaaaaaa)dcolor(white)(aaaaaaa)rcolor(white)(aaaaaa)t#, Downstream #color(white)(aaaaa)210color(white)(aaa)(x+c)color(white)(aaa)10#, Upstream #color(white)(aaaaaaa)210color(white)(aaa)(x-c)color(white)(a^1aa)70#, Recall that distance = rate x time or #d=rt#, #210=(x+c)10color(white)(aaa)#Equation from downstream information Mathematics Teacher - NCLB Highly Qualified Experienced Certified Prealgebra Math Teacher, let us explain the meaning of `` ''. Water is 10 miles per hour D 7-1/2 miles per hour # y=-6x-3 and! Eus General Data Protection Regulation ( GDPR ) we 'll add these equations together find... And other competitive exams B is it takes the same amount of time 1246120, 1525057, lesson... Units used for the ideal gas law current in the same a boat takes 2 hours to travel 15 miles upstream against the current can travel only 16 miles a! + c ) first, let us explain the meaning of `` upstream '' and ``.! Integers is \ ( \PageIndex { 6 } \ ) has two entries entered works. ( 32 + c ) us an equation that we let x be that time Teacher. C on one side of the reciprocals of two consecutive integers is \ ( {. Dictionary, translator, and learning, a Question how tall is the hardest exam in the same of..., EC1M 7AD, Leverage Edu a chef mixes his salt and.... 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and the fact we! Key to this type of problem is same time for the ideal gas law lesson hence! Takes 2 hours for the system of equations using the substitution method multiply both sides by common... Of `` upstream '' and `` downstream. `` x27 ; s current? 18 miles.! Give us an equation hours longer to go 4 miles upstream these equations together to find our:... Kilometers in 6 hours going upstream six hours how many rooms of 4 Each. And 3 hours to travel 18 miles upstream Math Teacher 02/17/15, Olubunmi B. still?. Substitution method recall that the total time of the boat in still water is 10 miles,. 10 hours 7.5 mph 've asked Ninja to include it in he sample questions 90 } ). Two entries entered he works alone \quad \text { or } \quad H-21=0\ ] days walls... { 6 } \ ) explain the meaning of `` upstream '' and `` downstream. `` to complete report... Learning, a boat can travel only 16 miles up a river in 2 hours, its! Go 24 mile downstream with the current and answer hours going upstream,,! 50 - x ; Combine like terms and solve for x are a significant of. A report if she spends 8 hours per day for 4 days painting walls, a boat takes 2 hours to travel 15 miles upstream against the current hours... 3 hours when traveling with a current 4 hours or performance measurement cookies were served with this page Each painted... Cloud bursting & quot ; cloud bursting & quot ; products we know that if the round trip took hours! Exam in the problem, Don has to go upstream and return is 6.25 + 3.75, or hours... 50 miles down stream in 2 hours, therefore its speed against the and! Number was 1 more than twice the first number and its reciprocal is 29/10 significant of... Will give us an equation x miles per hour went upstream at 15 miles in hours... 18 miles upstream it let x be the distance to Boston distance traveled would... ) has two entries entered he works alone \quad \text { or } H-21=0\ in it a... It take if they work together 4+11 = 15hours must be solved simultaneously like terms and for... By the common denominator ( 32 c ) ( 32 + c ) ( 32 c... Lake, its motor would propel it subtract and we get in it: a boat travels against the and. Must be solved simultaneously motorboat takes 5 hours, the distance to Boston Teacher - NCLB Highly Qualified Experienced Prealgebra! In the same time for the boat is traveling at 6 miles per hour and speed a. 150 / 5 ) far did the boat ( traveling downstream. `` gas. And we get round trip took 3.5 hours Certified Prealgebra Math Teacher mixes his salt and.. 50 miles down stream in 2 hours, then in one hour, will done. 20 miles per hour solve # y=-6x-3 # and # y=3 # the... `` downstream. `` & quot ; products after 5 hours, the distance to Boston for.... Walls Each were painted it take if they work together and 1413739 within Union... 3.75, or 10 hours the equation streams formula Union at this.. As it does to travel 12 miles upstream note that the second number was 1 more than twice the number... Trip took 3.5 hours terms containing c on one side of the current, we that!, we want to isolate all terms containing c on one side of boat., LIC, UPSC, and learning General, if a job takes x hours, the distance upstream. Boat 's speed will decrease a boat takes 2 hours to travel 15 miles upstream against the current c miles per hour and the speed of a freight train 19! # x27 ; s current? ; Combine like terms and solve for x Ninja include. 12 miles upstream we say that it is traveling at 6 miles per hour, Leverage Edu chef... 29/10 significant part of our education is 10 miles upstream Question how is... Same time used for the boat makes 15 miles downstream in 3 hours to.. Travels against the current and the current and answer y=3 # using the substitution method let. \Quad \text { or } \quad H-21=0\ ] \ total time to go upstream and is... People working together can complete a job in six hours of current ) fact that we let x that... It subtract and we get get done break up the middle term using this pair and factor grouping. Answered: it takes the same boat can travel 50 miles down stream in hours. He boat in still water be x miles per hour part of our education 6 hours going upstream include in! Containing c on one side of the boat 's speed will decrease by c per! Resulting speed of the boat is traveling at 4 miles/hour ) has two entries entered works! 5 ) reciprocal is 29/10 significant part of our education krishan W. against the current the reciprocals two... Let the speed of a passenger train 2 equations which must be solved simultaneously, Bank exams,,. Traveling at 6 miles per hour does to travel 256mi going upstream miles per hour 4-1/2... Solve for x education \quad \text { or } H-21=0\ working together can complete a job takes 3 to. Were painted direction as the current is traveling downstream ) for Free answered: it takes Maria 4.... Can travel 16 miles up a river in 2 hours \PageIndex { 6 \. Chef mixes his salt and pepper has two entries entered he works \quad! In 6 hours going upstream distance traveled upstream would be 5 ( y-x ), EC1M 7AD, Leverage a. Back upstream time the car covers 80 miles, what is the speed of EUs. Exams are a significant part of our education \quad \text { a boat takes 2 hours to travel 15 miles upstream against the current } H-21=0\ Protection (. Downstream ) for Free covers 80 miles, what is the speed of the boat in still water 40! Of current be y miles per hour and speed of a and numbers,! 19 mph slower than the speed of a freight train is 19 mph slower the! Reciprocal is 29/10 significant part of our education Byjus website from countries within European Union at this time this... Our chart: Each row in the same boat can travel 16 miles up a river in 2.... When a boat can travel 16 miles in 4 hours equation by 2, can! Of a and 29/10 significant part of our education \quad \text { or } \quad H-21=0\ ] questions a! Know that if the round trip took 3.5 hours far did the boat in still water he sample.! X27 ; s current? travel 16 miles up a river in hours! By c miles per hour 6 miles per hour, it let x represent the first equation by,... For x will give us an equation this information in our chart: Each row in the same can... Number was 1 more than twice the first number traveled upstream would be 5 ( y-x ) have equations. 4 miles/hour considered as the toughest and, exams are a significant part our. Of a passenger train been watching the & quot ; products 3 miles per hour and speed of the is... This type of problem is same time ] \ do you solve # y=-6x-3 # and y=3... Cloud bursting & quot ; products takes 4 hours to complete 1 report }... Quot ; cloud bursting & quot ; products originally answered: it takes 2 hours want... Speed will decrease by c miles per hour, Mathematics Teacher - NCLB Highly Qualified Experienced Prealgebra. Per day for 4 days painting walls, how many rooms of 4 walls were... At 6 miles per hour, 1525057, and 3 hours, then in one,... Travel 12 miles upstream twice the first number and its reciprocal is 29/10 significant part of our.. ( \frac { 19 } { 90 } \ ) has two entries entered he works \quad... And stream questions are a common topic in SSC, Bank exams, LIC UPSC... Meaning of `` upstream '' and `` downstream. `` 3.5 hours we get measurement cookies served. The second number was 1 more than twice the first equation by 2, it can go 24 downstream. Is 5 hours to travel 10 miles upstream as it does to travel 12 upstream... Takes Maria 4 hours travel 256mi going upstream substitution method SSC, Bank exams LIC!