# A residential

A residential colony has a population of 5400 and 60 litres of water is required per person per day. For the effective utilization of rain water, they constructed a water reservoir measuring 48m × 27m × 25m to collect the rain water. For how many days, the water of this tank is sufficient, if during rain the height of water level is 5 m?

Result

d1 =  100 d
d2 =  20 d

#### Solution:

$d=5400 \cdot \ 60 / 1000=324 \ \text{m}^3\text{/d} \ \\ V_{1}=48 \cdot \ 27 \cdot \ 25=32400 \ \text{m}^3 \ \\ d_{1}=V_{1} / d=32400 / 324=100 \ \text{d}$
$V_{2}=48 \cdot \ 27 \cdot \ 5=6480 \ \text{m}^3 \ \\ d_{2}=V_{2}/d=6480/324=20 \ \text{d}$

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