A boat takes 4hours for traveling downstream from point P to point Q and coming back to point P upst...........

Quantitative Aptitude ( CCS) Boats and Streams

A boat takes 4hours for traveling downstream from point P to point Q and coming back to point P upstream. If the velocity of the stream is 2kmph and the speed of the boat in still water is 4kmph, what is the distance between P and Q?

9 km

7 km

5 km

6 km

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Explanation:

Explanation:
Time taken by boat to travel upstream and downstream = 4 hours
Velocity of the stream, ½ (a-b) = 2km/hr
a-b = 4km/hr ……………….( 1)
velocity of the boat in still water = ½ (a+b) = 4km/hr
a+b = 8 km/hr ………………(2)
1 +2 we get a = 6 km/hr ,b = 2km/hr
let the distance between A and B be x km
x / 2 + x / 6 = 4
3x + x / 6 = 4 4x = 24 so,x = 6
distance between P and Q = 6km

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