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Question

A steamer, going downstream in a river, covers the distance between two towns in 20 hours. Coming back upstream, it covers this distance in 25 hours. The speed of water is 4 km/h. Find the distance between the two towns.

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Solution

Let velocity of the streamer be Vs
Let distance between the 2 towns be d
Velocity of water = 4 km/h
, velocity of streamer downstream = Vs+4
Velocity of the streamer upstream = Vs4
Velocity downstream=Vs+4=d20(1)
Velocity upstream=Vs4=d25(2)
Subtracting (2) from (1), we get
8=d20d258=d5(1415)40=d20d=800km
Hence, distance between the 2 towns = 800 km.


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