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A work can be finished by 2 men in 7 days. The same work can be finished by three women in 4 days. The same work can be finished by 7 children in 3 days. Find the number of days taken to finish the entire work when 1 man, 1 woman and 1 child is working.

A work can be finished by 2 men in 7 days. The same work can be finished by three women in 4 days. The same work can be finished by 7 children in 3 days. Find the number of days taken to finish the entire work when 1 man, 1 woman and 1 child is working. Correct Answer 84 / 17

Given:

A work can be finished by 2 men in 7 days. The same work can be finished by three women in 4 days. The same work can be finished by 7 children in 3 days.

Concept Used:

If one man can finish a work in d days, his one-day’s work would be 1 / d.

Calculation:

⇒ 1 man finish the work in 14 days

⇒ 1 woman finish the work in 12 days

⇒ 1 child finish the work in 21 days

So, 1-day work of man, woman and child = 1/14 + 1/12 + 1/21 = 17/84

∴ The number of days taken to finish the entire work is 84/17 days.

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