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Question

# Water flow in a tank 150 m x 100 m at the base, through a pipe whose cross section is 0.2 m by 0.15 m at the speed of 15 km/hour. In what time, will the water be 3 metres deep?

A

100 hrs.

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B

10 hrs.

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C

50 hrs.

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D

80 hrs.

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Solution

## The correct option is A 100 hrs. Length of cross section of pipe = 0.2 m Breadth of cross section of pipe = 0.15 m Area of cross section = 0.2 x 0.15 = 0.03 m2 Speed of water = 15 km/h = 15000 m/h Volume of water flown in 1 h = 0.03 x 15000 = 450 m3 Dimensions of the water tank = 150 x 100 Volume of water for a depth of 3 m = 150 x 100 x 3 = 45000 m3 Time taken to fill the tank to a depth of 3 m = 45000450 = 100 hrs.

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