Question

A motorboat going downstream comes over a floating body at a point A. 60 minutes later it turned back and after some time, passed the floating body at a distance of 12 km from the point A.Find the velocity of the motorboat in still water.

Answer 1

Let the speed of stream be v and speed of motorboat be u.

Now distance moved by boat in 1 hour =(u+v)×1=u+v

Total time is=6/v

Speed of boat when it turns back=u−v

=>u+v−6=(u−v)(6/v−1)

Solving for v we get,

v=3km/hr

Thanks