A boat takes 28 hours for travelling downstream from point A to point B and coming back to point C m...........

Quantitative Aptitude( Paper-I ) Boats and Streams

A boat takes 28 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 6km/hr and the speed of the boat in still water is 9 km/hr, what is the distance between A and B?

115 km

120 km

140 km

165 km

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Explanation:

Downstream speed = 9+6 = 15
Upstream speed = 9-6 = 3
Now total time is 28 hours
If distance between A and B is d, then distance BC = d/2
Now distance/speed = time, so
d/15 + (d/2)/3= 28
Solve, d = 120 km