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Quantitative Aptitude

Inversely Proportional

A man can swi...

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A man can swim with the speed 5m/s he want to cross a 100 m wide river flowing at 3m/s to reach the point directly opposite to his starting point, in which direction he should try to swim?

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Q. A man can swim in still water at a speed of 3 km/h. he want to cross a river that flows at 2 km/h and reach the point directly opposite to his starting point. (a) In which direction should he try to swim (that is, find the angle his bodys makes with the river flows)? (b) How much time will he take to cross the river if the is 500 m wide ?

Q. A man can swim in still water at a speed of

3 k m / h

. He wants to cross a river that flows at

2 k m / h

and reach the point directly opposite to his starting point.
(a) In which direction should he try to swim (that is, find the angle his body makes with the river flow)?
(b) How much time will he take to cross the river if the river is

500 m

Q. A man can swim in still water with a velocity

5 m / s

. He wants to reach at directly opposite point on the other bank of a river which is flowing at a rate of

4 m / s

15 m

wide and the man can run with twice the velocity as compared with velocity of swimmer with respect to river. If he swims perpendicular to river flow and then run along the bank. Time, in seconds, taken by him to reach the opposite point is

Q. A swimmer swims in still water at a speed of

5 k m / h r

200 m

wide river, having a river flow speed of

4 k m / h r

. He proceeds to swim at an angle of

127^{\circ}

with the river flow direction. He reaches directly opposite to the starting point and then swims with the river flow to cover a distance of

200 m

. The total time taken by the swimmer to complete his journey is

Q. A man can swim at a speed 2 m/s in still water. He starts swimming in a river at an angle 150 to the direction of water flow and reaches the directly the directly opposite point on the opposite bank.
(a) Find the speed of flowing water.
(b) If width od river is 1 km then calculate the time taken to cross the river.

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