A boatman takes 3 hours 45 minutes to travel 15 km downstream and takes 2 hours 30 minutes to travel 5 km upstream of a river. What is the speed of the stream of the river in km/h?
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Step-by-step explanation:
Let the velocity of the stream be s km/h and that of the boat in still water is b km/h.
3.75*(b+s) = 15, or
b+s = 15/3.75 = 4 …(1)
2.5(b-s) = 5, or
b-s = 5/2.5 = 2 …(2)
Add (1) and (2),
2b = 6, or b = 3 km/h
Subtract (2) from (1),
2s = 4–2 = 2, or s = 1 km/h.
The velocity of flow of the stream is 1 km/hr and the speed of the boat in still water is 3 km/h.
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