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Question -

The boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. Determine the speed of stream and that of the boat in still water.



Answer -

Let the speed of stream = y km/hr
and speed of boat = x km/hr
Speed of boat downstream = (x + y) km/hr
In first case, and up stream = (x – y) km/hr
Upstream distance = 30 km
and down distance = 44 km
Total time taken = 10 hrs
In second case,
upstream distance = 40 km
and downstream distance = 55 km
Total time taken = 13 hrs

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