Question

If 81 students can do a painting on a wall of length $448m$ in 56 days, then how many students can do the painting on a similar type of wall of length $160m$ in 27 days?

Answer 1

Here, $P_1=81,D_1=56$ and $W_1=448$ and $P_2=x,D_2=27$ and $W_2=160$
Using the formula, $\frac{P_1\times D_1}{W_1}=\frac{P_2\times D_2}{W_2}$
$\begin{array}{cc}\Rightarrow \frac{81\times 56}{448}& =\frac{x\times 27}{160}\\ \Rightarrow x& =\frac{81\times 56}{448}\times \frac{160}{27}\Rightarrow x=60\text{students.}\end{array}$