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Q.

The water in a rectangular reservoir having a base 80meters by 60meters is 6.5 meters deep. In what time can the water be emptied by a pipe of which the cross section is a square of side 20 cm, if the water runs through the pipe at the rate of 15 km per hour?

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a

26 hrs

b

52 hrs

c

65 hrs

d

42 hrs

answer is B.

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Detailed Solution

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Volume of water =(80×60×6.5)=31200cm3 

Area of cross section of the pipe =(20100×20100)=125m2

Volume of water emptied in 1 hour =(15×1000×125)=600cm3

Time taken to empty the reservoir =31200600=52hr

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