Q.

A motorboat going downstream overcame a raft at position A. One hour later, the motor boat turns back and some times later crosses the raft at position C. The distance AC = 6 Km. The duty of the engine of motorboat remains constant. If the river flow velocity is x, find the value of x, in  kmhr .

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answer is 3.

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Detailed Solution

 (vm+vr)1=(vmvr)t+vr(1+t)
t = 1
vr(2)=6             vdE=μ   
vr=3km/hr              vd=μE   
                                      i=neμE
                                     σ=neμ

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A motorboat going downstream overcame a raft at position A. One hour later, the motor boat turns back and some times later crosses the raft at position C. The distance AC = 6 Km. The duty of the engine of motorboat remains constant. If the river flow velocity is x, find the value of x, in  kmhr .