Water in a rectangular reservoir having base 80 m by 60 m is 6.5m deep.

Question:

Water in a rectangular reservoir having base 80 m by 60 m is 6.5m deep. In what time can the water be pumped 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 15km/hr.

Solution:

Flow of water = 15 km/hr

= 15000 m/hr

Volume of water coming out of the pipe in one hour,

$\Rightarrow 20 / 100 * 20 / 100 * 15000=600 \mathrm{~m}^{3}$

Volume of the tank = 80 * 60 * 6.5

$=31200 \mathrm{~m}^{3}$

Time taken to empty the tank $=\frac{\text { Volume of tank }}{\text { Volume of water coming out of pipe in one hour }}$

= 31200/600 = 52 hours

 

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