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Question

Physics Question on Motion in a plane

A boat takes 2 hours to travel 8km and back in still water lake.With water velocity of 4 kmph the time taken for going upstream of 8km and coming back is.

A

160 minutes

B

80 minutes

C

320 minutes

D

180 minutes

Answer

160 minutes

Explanation

Solution

VB=8+82=8kmphV_B = \frac{8 + 8}{2} = 8 kmph t=t1+t2=8νB+νr+8νbνr=160mint = t_1 + t_2 = \frac{8}{\nu_B + \nu_r} + \frac{8}{\nu_b - \nu_r} = 160 min