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The velocity of a boat in still water is...

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

A

1s

B

10s

C

`(sqrt3)/(2)s`

D

2s

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • Velocity of boat in still water is 13m/s. If water flows in a river with a velocity of 5 m/s. What is the difference in times takes by him to cross the river in the shortest path and in the shortest time. If the width of the river is 156 m.

    A
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    B
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    C
    `(sqrt(3))/(2)` sec
    D
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  • A river flows at the rate of 3 km/hr and a person can row a boat at a speed of 5 km/hr is still water. If the difference between the times taken to cross the river by the shortest path the quickest time be 4 minutes, find the width of the rivers.

    A
    `2 1/3 km`
    B
    `1 1/3` km
    C
    `3 1/4` km
    D
    `4 1/3` km

  • A man can row a boat with a velocity of v_(b) in stationary water. If water is flowing with a velocity of v_(w) and if the if the width of the river is b, the time taken by the man to reach exactly opposite point on the other side of the bank is .

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    B
    `(b)/(v_(w))`
    C
    `(b)/(sqrt(v_(b)^(2)-v_(w)^(2)))`
    D
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