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