Find the rate of the stream if a boat covers 120 km downstream and 40 km upstream in 4 hours ........

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Find the rate of the stream, if a boat covers 120 km downstream and 40 km upstream in 4 hours.

15 km/hr

20 km/hr

10 km/hr

25 km/hr

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Explanation:

Distance covered in downstream = 120 km
Time taken in downstream = 4 hours.
Rate of downstream = distance / time = a = 120km / 4 hours = 30 km/hr.
Distance covered in upstream = 40 km
Since it takes same time to cover this 40km,
Time taken in upstream = 4 hours.
Rate of upstream = distance / time = b = 40km / 4 hours = 10 km/hr.
Speed of stream = (a - b)/2 = (1/2)(30 - 10) km/hr = 10 km/hr.