A village, having a population of 4000 , requires 150 litres of water per head per day. It has a tank measuring $ 20 \mathrm{~m} \times 15 \mathrm{~m} \times 6 \mathrm{~m} $. For how many days will the water of this tank last?

Given:

A village having a population of $4000$ requires $150$ litres of water per head per day. It has a tank measuring $20\ m \times 15\ m \times 6\ m$.

To do:

We have to find the number of days the water of the tank will last.

Solution:

Population of the village $= 4000$

Water required per head per day $= 150$ litres

Therefore,

Total water required $= 4000 \times 150$

$= 600000$ litres

Dimensions of the tank $= 20\ m \times 15\ m \times 6\ m$

Volume of the tank $= 20 \times 15 \times 6$

$= 1800\ m^3$

Capacity of water in litres $= 1800 \times 1000$

$= 1800000$ litres

The number of days the water will last for $= \frac{1800000}{600000}$

$= 3$

Hence, the water of the tank will last for $3$ days. 

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Updated on: 10-Oct-2022

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