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  • A man can swim in still water of 1m/s. He swim across the river flowing at 0.6m/s . The width of river is 100m. If he travels with the shortest possible time then time taken to cross the river is:<

A man can swim in still water of 1m/s. He swim across the river flowing at 0.6m/s . The width of river is 100m. If he travels with the shortest possible time then time taken to cross the river is:
 

Option: 1

250 sec


Option: 2

100 sec


Option: 3

60 sec

 


Option: 4

40 sec


Answers (1)

best_answer

 To cross the river in the shortest time

     

           Means v is perpendicular to u

          Or Sin\theta =1\Rightarrow \theta =90^0

         So,  \left | V_b \right |= \sqrt{u^2+v^2 }

         Time taken   t_{min}=\frac{d}{v}

 

For t_{min}

\overrightarrow{V_{mr}} should be perpendicular to the flow.

t= \frac{100}{1}

t= 100s

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