Question

A small village, having a population of $5,000$ requires $75litres$ of water per head per day. The village has got an over head tank of measurement $40\mathrm{m}\times 25\mathrm{m}\times 15\mathrm{m}$. For how many days will the water of this tank last?

• A. $40days$
• B. $45days$
• C. $35days$
• D. $30days$

Answer 1

The correct option is A

$40days$

Step 1: Given data

Dimensions of overhead tank, $l=40\mathrm{m};\mathrm{b}=25\mathrm{m};\mathrm{h}=15\mathrm{m}$

Required water per day$=75l$

Number of villagers$=5000$

Number of days water will last$=?$

Step 2: Calculating the number of days water will last

Volume of cuboid$=l\times b\times h$

$1m^3=1000l$

As per the given data,

The volume of overhead tank$=40\times 25\times 15=15000m^3$

The volume of overhead tank$=15000\times 1000l$

Water needed for $5000$ villagers$=5000\times 75=375000l$

Number of days water will last$=\frac{15000\times 1000}{375000}=\frac{15000}{375}=40days$

Hence, Number of days water will last$=40days$

Hence, option A is correct.