Question : 9 boys and 12 men can complete a work in 24 days. Each boy takes thrice the time taken by a man to complete the work. In how many days will 15 men complete the same work?
Option 1: 26 days
Option 2: 30 days
Option 3: 24 days
Option 4: 22 days
Correct Answer: 24 days
Solution :
(9 boys + 12 men) complete the work in 24 days.
The ratio of time taken by a boy and time taken by a man = 3 : 1
i.e., 3 boys are equivalent to 1 man.
$\therefore$ 9 boys are equivalent to 3 men.
So, (3 men + 12 men) are equivalent to 15 men
So, 15 men complete the work in 24 days.
Hence, the correct answer is 24 days.
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