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Elza [17]
3 years ago
5

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

r how many days will the water of this tank last?
Mathematics
1 answer:
allochka39001 [22]3 years ago
5 0

The water will last for 3 days

<em><u>Solution:</u></em>

Given that, village having a population of 4000, requires 150 litres of water per head per day

<em><u>Let us first find the volume of tank</u></em>

The tank measuring 20m x 15m x 6m

Length = 20 m

Breadth = 15 m

Height = 6 m

volume\ of\ tank = length \times breadth \times height

Volume\ of\ tank = 20 \times 15 \times 6 = 1800

Thus volume of tank is 1800 cubic meter

From given,

Water required per person per day = 150 liters

<em><u>Therefore, water required for 4000 people per day is:</u></em>

\rightarrow 4000 \times 150 = 600000 \text{ liters }

Convert to meters

600000 \text{ liters } = 600000 \times \frac{1}{1000}\ m^3\\\\600000 \text{ liters } = 600\ m^3

<em><u>How many days will the water of this tank last?</u></em>

\text{Number of days water will last } = \frac{\text{volume of tank}}{\text{total water required per day}}

\text{Number of days water will last } = \frac{1800}{600} = 3

Thus the water will last for 3 days

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