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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
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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