Question : 15 men can do a work in 15 days working 8 hours a day. N men can do twice the work in 20 days working 10 hours a day. What is the value of N?
Option 1: 14
Option 2: 12
Option 3: 16
Option 4: 18
Correct Answer: 18
Solution :
Given :
$M_1 =15, D_1 =15, H_1 =8, W_1=1, M_2=N, D_2 =20, H_2 =10$ and $W_2=2$
Now, putting all values in the equation,
$\frac{M_1 D_1 H_1}{W_1}=\frac{M_2 D_2 H_2}{W_2}$
$\Rightarrow \frac{15\times 15\times 8}{1}=\frac{N \times 20\times 10}{2}$
$\Rightarrow N =\frac{15\times 15\times 8\times2}{20\times 10}$
$\therefore N =18$
Hence, the correct answer is 18.
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