Water in a rectangular reservoir having base 80m by 60m is 6.5m d… - Vidyadip

Question

Water in a rectangular reservoir having base 80m by 60m 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 20cm if the water runs through the pipe at the rate of 15km/hr.

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Answer

Flow of water = 15km/hr
= 15000m/hr
Volume of water coming out of the pipe in one hour,
$\Rightarrow\frac{20}{100}\times\frac{20}{100}\times15000=600\text{m}^3$
Volume of the tank = 80 × 60 × 6.5
= 31200m³
Times taken to empty the tank $=\frac{\text{Volume of tank}}{\text{Volume of water coming out of pipe in one hour}}$
$=\frac{31200}{600}=52\text{ hours}$

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