Question : If 50 boys can finish a work in 30 days by working 6 hours per day, then how many hours per day should 25 boys work to finish that work within 24 days?
Option 1: 18 hours
Option 2: 10 hours
Option 3: 12 hours
Option 4: 15 hours
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Correct Answer: 15 hours
Solution :
M$_{1}$ = 50 boys
H$_{1}$ = 6 hours
D$_{1}$ = 30 days
M$_{2}$ = 25 boys
D$_{2}$ = 24 days
M$_{1}$ D$_{1}$ H$_{1}$ = M$_{2}$ D$_{2}$ H$_{2}$
Where,
M$_{1}$ and M$_{2}$ = Number of persons
D$_{1}$ and D$_{2}$ = Number of days
H$_{1}$ and H$_{2}$ = Number of hours
According to the question, we have,
(50 × 6 × 30) = (25 × 24 × H$_{2}$)
⇒ H$_{2}$ = $\frac{(50 × 6 × 30)}{(25 × 24)}$
$\therefore$ H$_{2}$ = 15
Hence, the correct answer is 15 hours.
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