Question

If 48 men working 7 hours a day can do a work in 24 days, then in how many days will 28 men working 8 hours a day can complete the same work?

Answer 1

Here, $P_1=48,D_1=24,H_1=7$ and $W_1=1$ $P_2=28,D_2=x,H_2=8$ and $W_2=1$
Using the formula, $\frac{P_1\times D_1\times H_1}{W_1}=\frac{P_2\times D_2\times H_2}{W_2}$
$\begin{array}{cc}\Rightarrow \frac{48\times 24\times 7}{1}& =\frac{28\times x\times 8}{1}\\ \Rightarrow x& =\frac{48\times 24\times 7}{28\times 8}=36\text{days.}\end{array}$