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Mathematics

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

For how many days will the water of this tank (when full) will last ?

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Answer

Given:

Total population = 4,000

Water required per person per day = 150 litres

Tank dimensions = 20 m × 15 m × 6 m

Each person needs 150 litres/day:

Total water required per day = 4,000 × 150 = 600,000 litres/day

Tank is a cuboid:

Volume = length × breadth × height

= 20 × 15 × 6 = 1,800 m3

= 1,800 × 1000

= 1,800,000 litres

Volume of tank = Total water per day x Number of days

⇒ Number of days = Volume of tankTotal water per day\dfrac{\text{Volume of tank}}{\text{Total water per day}}

= 1,800,000600,000\dfrac{1,800,000}{600,000} = 3

Hence, the water in the tank will last for 3 days.

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