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A small village, having a population of 5000, requires 75 litres of water per head per day. The village has got an overhead tank of measurement 40 m × 25 m × 15 m. For how many days will the water of this tank last?

Solution:

Given, small village has population of 5000

The village requires 75 litres of water per head per day

The overhead tank has dimension 40 m × 25 m × 15 m

We have to find the number of days for which the water in the tank will be sufficient.

Quantity of water required per day = (75 × 5000) = 375000 litres.

Volume of water = 375000/1000 = 375 m³

Volume of overhead tank = length × breadth × depth

Given, length = 40 m

breadth = 25 m

depth = 15 m

Volume of tank = 40(25)(15)

= 1000(15)

= 15000 m³

Number of days = total capacity of overhead tank / volume of water needed per day

= 15000/375

= 40

Therefore, the water in the tank will last for 40 days.

✦ Try This: A small village, having a population of 3000, requires 35 litres of water per head per day. The village has got an overhead tank of measurement 30 m × 15 m × 5 m. For how many days will the water of this tank last?

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 13

NCERT Exemplar Class 9 Maths Exercise 13.3 Problem 8

A small village, having a population of 5000, requires 75 litres of water per head per day. The village has got an overhead tank of measurement 40 m × 25 m × 15 m. For how many days will the water of this tank last?

Summary:

A small village, having a population of 5000, requires 75 litres of water per head per day. The village has got an overhead tank of measurement 40 m × 25 m × 15 m. The water of this tank will last for 40 days

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