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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


Team Careers360 22nd Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

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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