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Question

Water flows in a tank 150 m ×100 m at the base, through a pipe whose cross-section is 2 dm by 1.5 dm at a speed of 15km per hour. In what time, will the water be 3 metres deep?

A
50 hours
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B
150 hours
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C
100 hours
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D
200 hours
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Solution

The correct option is D 100 hours
Volume of water discharged through the pipe = Volume increase of the tank
First, consider the pipe.
Volume discharge through pipe = length×breadth×speed×time
Let the time taken to fill the tank to 3 m depth be t.
Volume discharge through pipe, V=2×101×1.5×101×15×103×t
V=450t cu. m
Now consider the tank
Depth of the tank = 3 m
Volume of the tank V=150×100×3 cu. m
V=450×100
Therefore, 450t=450×100
t=100 hours
Therefore, option C is correct.

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