Question

If $45$ persons can complete a work in $20$ $days$, then the time taken by $75$ persons will be ______ $hours$.

Answer 1

Compute the required value

Given that $45$ persons can complete a work in $20$ $days$

Therefore,$1$ person can complete work in $45\times 20=900$ $days$

$\therefore$Time taken by $75$ persons to complete the work is $\frac{900}{75}=12days$

We know that $1day=24hours$

$\therefore 12days=12\times 24=288hours$

Hence the time taken by $75$ persons to complete the work is $288hours$