2. A diver rowing at the rate of 5 km/h in still water takes double the time in going 40 km upstream as in going 40 km downstream. Find the speed of the stream.
Answers
Answer:
A person rowing at the rate of 5km/h in still water, takes thrice as much time in going 40 km upstream as in going 40 km downstream. find the speed of the stream. "A quality education changes lives" If you value our work, please consider donation to support MathsTeacher channel.Feb 2, 2019
Step-by-step explanation:
Answer:
5/3 km/h
Step-by-step explanation:
Speed in still water = 5km/h
Define x:
Let the speed of the steam be x
Upstream speed = (5 - x) km/h
Downstream speed = (5 + x) km/h
Time taken going upstream:
Time taken = Distance ÷ Speed
Time taken = 40/(5 - x) h
Time taken going downstream:
Time taken = Distance ÷ Speed
Time taken = 40/(5 + x) h
Solve x:
The time taken upstream is double the time taken downstream
40/(5 - x) = 2 (40/(5 + x))
40/(5 - x) = 80/(5 + x )
40(5 + x) = 80( 5 - x)
200 + 40x = 400 - 80x
120x = 200
x = 200 ÷ 120 = 5/3
Answer: The speed of the stream is 5/3 km/h