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Q.

The velocity of a boat in still water is 10ms1. If water flows in the river with velocity of 6ms1. What is the difference in times taken to cross the river in shortest path and shortest time. The width of river is 80m.

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a

1 sec

b

10 sec

c

12 sec

d

2 sec

answer is D.

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Detailed Solution

In shortest path 
t1=dVb2Vr2=8010262=808=10sec 
In shortest time
t2=dvb=8010=8sec 
Difference Δt=t1t2=108=2sec

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