A boat takes 19 hours for travelling downstream from point A to Point B and coming back to a Point C...........

Quant (SSC) Boats and Streams

A boat takes 19 hours for travelling downstream from point A to Point B and coming back to a Point C midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 12 kmph, what is the distance between A and B?a

160 km

152 km

200 km

220 km

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Explanation:

Speed downstrem = (12 + 4)km/hr = 16 km/hr;
Speed upstream = (12 - 4) km/hr = 8 km/hr.
Let the distance between A and B be x km,
Then, x/16 + (x/2) /8 = 19
⇔ x/16 + x/16 = 19
⇔ 2x/16 = 19
⇔ x = 152 km