Question : 42 boys can complete a piece of work in 20 days working 8 hours per day. In how many days can 14 boys complete the same work, each boy working 12 hours per day?
Option 1: 39 days
Option 2: 40 days
Option 3: 41 days
Option 4: 42 days
Correct Answer: 40 days
Solution :
Let the number of days be $D$ for 14 boys working 12 hours per day.
Use the formula: $M_1D_1H_1= M_2D_2H_2$
Where $M_1$ and $M_2$ are persons, $D_1$ and $D_2$ are days and $H_1, H_2$ are hours per day.
⇒ 42 × 20 × 8 = 14 × D × 12
⇒ $D$ = 40
Hence, the correct answer is 40 days.
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