A boat takes 12 hours to cover 64 km downstream and 8 hours to cover 32 km upstream Then the speed o...........

Quant (SSC) Boats and Streams

A boat takes 12 hours to cover 64 km downstream and 8 hours to cover 32 km upstream. Then the speed of the boat in still water is:

14/3 km/hr

3/2 km/hr

6/5 km/hr

8/7 km/hr

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Explanation:

Distance covered in downstream = 64 km
Time taken in downstream = 12 hours.
Rate of downstream = distance / time = a = 64 km / 12 hours = 16 / 3 km/hr.
Distance covered in upstream = 32km
Time taken in upstream = 8 hours.
Rate of upstream = distance / time = b = 32km / 8 hours = 4 km/hr.
Speed in still water = (a + b) / 2 = (1/2)(16/3 + 4) km/hr
= (1/2)(28/3) = 14/3 km/hr.