Question : If 12 carpenters working 6 hours a day can make 460 chairs in 240 days, then the number of chairs made by 18 carpenters in 36 days each working 8 hours a day is:
Option 1: 92
Option 2: 132
Option 3: 138
Option 4: 126
Correct Answer: 138
Solution :
$M_1$ = 12 men, $D_1$ = 240 days, $T_1$ = 6 hours, and $W_1$ = 460 chairs
Let the number of chairs made by the second group be $W_2$
And, $M_2$ = 18 men, $D_2$ = 36 days and $T_2$ = 8 hours
Now, $\frac{M_1D_1T_1}{W_1}= \frac{M_2D_2T_2}{W_2}$
⇒ $\frac{12\times 240\times 6}{460}=\frac{18\times 36\times 8}{W_2}$
⇒ $W_2$ = 138 chairs
Hence, the correct answer is 138.
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