Question

A village has a population of $6000;50$ litres of water is required per person per day. The village has a water tank measuring $60m\times 30m\times 8m$ completely filled with water. For how many days the water of this tank is sufficient.

Answer 1

Volume of the tank$=60\times 30\times 8$ {$\because$ Volume of Cuboid $=l\times b\times h$}

$=14400m^3$

$=14400\times {10}^3$ litres {$\because 1m^3={10}^{3}litres$}

Population of the village $=6000$

Water used daily per person$=50$ litres

$\therefore$ Total water used per day by the entire populaton of the village $=6000\times 50$

$=300000$

Now to find out number of days the water will last we need to calculate

$Numberofdays=\frac{Volumeofthetank}{TotalUsageoftheVillagersperday}$

$=\frac{14400000}{300000}$

$=48$

Water in the tank is sufficient for $48$ days.