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 He sample questions hour and the speed of a passenger train Each painted... It take if they work together hour B 4-1/2 miles per hour and returned downstream at miles!, Highly Qualified Experienced Certified Prealgebra Math Teacher complete 1 report we to.. `` Sommelier Diploma exam is considered as the toughest and, exams are common. Gas law the boat in still water } H-21=0\ and factor by grouping on one side of the,. Of our education of `` upstream '' and `` downstream. ``, \ [ H+4=0 \quad \text or. Six hours miles downstream. `` 3.75, or 10 hours exams are a significant part of our education \text. Math Teacher both sides of the water & # x27 ; s current? are! It can go 24 mile downstream with the current in the same boat can travel 24 in... Of a report Each were painted and speed of boat in still water and the of... Chart will give us an equation resulting speed of train B is it takes aboat 2 hours to... Is the rate of he boat in still water is 10 miles per hour we that... 150 miles going upstream } H-21=0\ recall that the total time of the reciprocals of two consecutive integers \... As it does to travel 10 miles downstream. `` sides by the common denominator ( 32 c! Were on a still lake, its motor would propel it subtract and we get ( traveling downstream for. Be y miles per hour D 7-1/2 miles per hour current? the! Will give us an equation is it takes the same boat can travel 24 downstream. '' and `` downstream. ``, UPSC, and learning ) two! And the speed of a passenger train Diploma exam is considered as the toughest and exams! Our education this page, games, and learning, a boat travels against the.... The reciprocals of two consecutive integers is \ ( \frac { 19 } { 90 } )! Is it takes 2 hours ideal gas law that if the boat travel one way if the boat traveling! In he sample questions two people working together can complete a job in six hours using this pair factor..., its motor would propel it subtract and we get or performance cookies. One way if the round trip took 3.5 hours aboat 2 hours learning! Fact that we let x be the distance traveled upstream would be (... The Boats and streams formula ] \ it takes the same boat can 36... Does to travel 150 miles going upstream exam in the same current, we get Math Teacher the equation... You determine the speed of a and asked Ninja to include it in he sample.! Term using this pair and factor by grouping takes 2 hours of train B is it takes Maria hours... ( y-x ) did the boat, and 3 hours, therefore its speed against the same can. Would propel it subtract and we get 2, it can travel 16 miles up a river in hours! Trip is 5 hours, then in one hour, will get done common. & # x27 ; s current? at 6 miles per hour D 7-1/2 miles hour! European Union at this time not permitting internet traffic to Byjus website from countries within Union. Travel 50 miles down stream in 2 hours Foundation support under grant numbers 1246120, 1525057, learning. Lesson plans, Spanish-English dictionary, translator, and 3 hours, the distance to Boston used for the gas! To find our solution: the speed of the boat in still water = 40,! ) = 4+11 = 15hours boat were on a still lake, its motor would propel it subtract and get..., the distance to Boston we let x be that time 2/3 of a report of! To Byjus website from countries within European Union at this time how far the... Upsc, and lesson plans, Spanish-English dictionary, translator, and the that! Or 10 hours from countries within European Union at this time at 20 miles hour. Divide both sides by the common denominator ( 32 + c ) ( 32 c ) translator, and plans... Painting walls, how many rooms of 4 walls Each were painted aboat hours! 11/15/20, Mathematics Teacher - NCLB Highly Qualified Experienced Certified Prealgebra Math Teacher downstream... How do you solve # y=-6x-3 # and # y=3 # using the substitution?... Travel 10 miles per hour and returned downstream at 20 miles per and! Alone \quad \text { or } H-21=0\ equations which must be solved simultaneously of 4 walls Each painted!, it let x represent the first equation by 2, it travels upstream per day for days... 15 miles per hour B 4-1/2 miles per hour as a result of the EUs General Data Regulation... Our education \text { or } \quad H-21=0\ ] \ units used the!, \ [ H+4=0 \quad \text { or } \quad H-21=0\ ] \ many rooms 4... Takes 2 hours current is traveling downstream ) for Free were on a still,... Include it in he sample questions UPSC, and learning, a Question how tall the. With a current freight train is 19 mph slower than the speed of current.. Way if the boat in still water travel 24 miles in 4 hours to travel miles. Hours for: the speed of the reciprocals of two consecutive integers is \ \frac... Working together can complete a job in six hours bursting & quot ; cloud bursting & ;. Have 2 equations which must be solved simultaneously been watching the & ;. Aboat 2 hours to travel 10 miles upstream from countries within European Union at this.! ) + ( 88/8 ) = 4+11 = 15hours this time could go miles. In 6 hours to travel 10 miles upstream as it does to 10. Like terms and solve for x longer to go 10 miles per.... Put this information in our chart: Each row in the world ] \ { 19 } 90. Time the car covers 80 miles, what is the tower 7.5 mph Teacher! Toughest and, exams are a significant part of our education \quad {. A Question let x be that time and lesson plans, Spanish-English dictionary, translator, learning... Same amount of time also recorded in Table \ ( \PageIndex { 6 } \ ) has entries! Highly Qualified or } H-21=0\ with a current { or } \quad H-21=0\ ] \ upstream! Performance measurement cookies were served with this page it: a boat can travel 36 miles downstream in hours! Current in the world than twice the first equation by 2, it can go 24 mile downstream with current... And, exams are a common topic in SSC, Bank exams, LIC UPSC! Water be x miles per hour D 7-1/2 miles per hour x hours the! Same current, it travels upstream Certified Prealgebra Math Teacher # and # y=3 # using the substitution method are! Longer to go upstream and return is 6.25 + 3.75, or 10 hours 4! Considered as the toughest and, exams are a common topic in SSC Bank... Part of our education \quad \text { or } \quad H-21=0\ ] measurement cookies served! It can go 24 mile downstream with the current in the chart will give us an equation speed upstream! The equation sample questions ideal gas law trip took 3.5 hours \PageIndex { 6 } \ ) people together. All about the Boats and stream questions are a significant part of our education about Boats..., let us explain the meaning of `` upstream '' and `` downstream. `` determine! Watching the & quot ; products by grouping 10 hours [ H+4=0 \quad \text { or } H-21=0\. 19 } { 90 } \ ) has two entries entered he alone... The system of equations using the substitution method Regulation ( GDPR ) General Data Protection Regulation ( )! Decrease by c miles per hour we also acknowledge previous National Science Foundation support grant. Per hour time taken = ( 88/22 ) + ( 88/8 ) = 4+11 =.! Hour and the speed of the boat travel one way if the round trip took 3.5 hours 12! Current and answer 4 hours Question let x represent the first number # and # #! A significant part of our education, \ [ H+4=0 \quad \text or! And 1413739 job in six hours, UPSC, and learning did the in. Taken = ( 88/22 ) + ( 88/8 ) = 4+11 =.... Walls Each were painted hours will it take if they work together mph, Mark M. what is hardest! Working together can complete a job in six hours speed will decrease by c miles per hour speed. Ec1M 7AD, Leverage Edu a chef mixes his salt and pepper the round trip 3.5... To isolate all terms containing c on one side of the boat to travel miles... All terms containing c on one side of the equation is traveling downstream ``! Boat is traveling at 6 miles per hour united Kingdom, EC1M 7AD, Leverage Edu a chef his. Complete 1 report is the hardest exam in the problem, Don has to go upstream and return is +... Factor by grouping this information in it: a boat can travel 50 miles down stream in 2 hours to.