A swimmer reaches the other Bank of a flowing river exactly opposite to starting point if he was swimming at 2 km / he while maintaining 150° with the flow then time taken by him to cross the river 1 km wide is
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1 hr
Explanation:
A swimmer reaches the other Bank of a flowing river exactly opposite to starting point if he was swimming at 2 km / he while maintaining 150° with the flow then time taken by him to cross the river 1 km wide is
Swimming at 2 km/hr
Angle = 150°
Horizontal Speed = 2 * Cos150° = 2 * (-√3/2) = -√3 km /hr
Compensated the flow ( as he reaches just opposite )
Vertical speed = 2 Sin 150° = 2 * (1/2) = 1 km/Hr
Resultant Speed = 1 km/hr
River Width = 1 km
Time taken = 1/1 = 1 hr
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