The area of cross section of a pipe is 10 sq. cm and the speed of water flowing throught it is 20 cm/s. How long will it take to fill a tank whose capacity is 240 litres?

15 minutes.

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18 minutes.

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22 minutes.

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20 minutes.

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Solution

The correct option is D
20 minutes.

Area of cross section = 10 $c m^{2}$

speed of water = 20cm/s

Volume of water flowing out in one second = area of cross section x speed of water

= 10 x 20

= 200 $c m^{3}$ = 0.2 litres \([1 litre ~=~ 1000 ~cm^3]

$∴$ time taken to fill 1 litre = 5 seconds

$∴$ time taken to fill 240 litres = 240 x 5 = 1200 seconds or 20 minutes.

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