A man swimming in a stream which flows 1.5 km/hr finds that in a given time he can swim twice as far with the stream as he can against it. At what rate does he swim?
Answers
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Given,
The rate at stream flows = 1.5km/h
To Find,
The swimmer speed.
Solution,
Let's take swimmer speed =x km/h.
The time is taken by the swimmer = t
The speed of the stream = 1.5km/h
The speed when swimming with the stream = x+1.5 km/h
The distance covered when swimming with the stream D₁= (x+1.5)t
The speed when swimming against the stream = x -1.5
The distance covered when swimming against the stream D₂= (x-1.5)t
The swimmer swims twice when swimming against the stream
Therefore,
D₁ = 2D₂
(x+1.5)t = 2((x-1.5)t)
x+1.5 = 2x- 3
x = 4.5 km/h
4.5km/h is the speed of the swimmer.