Question

If 1 man, 1 woman, 1 boy together can finish a piece of work in 5 days. If a woman and a boy can finish the work in 10 days and 16 days respectively. The days were taken by a man to finish the work is.
1. 80/3 days
2. 75 days
3. 75/3 days
4. 80 days

Answer 1

Correct Answer - Option 1 : 80/3 days

Given:

1 man + 1 woman + 1 boy can finish work in 5 days

1 woman can finish work in 10 days

1 boy can finish work in 16 days

Calculation:

Let the time taken by 1 man be ‘x’ days.

⇒ (1/x) + (1/10) + (1/16) = 1/5

⇒ 1/x = (1/5) – (1/10) – (1/16)

⇒ 1/x = 3/80

⇒ x = 80/3

∴ 1 man can finish work in 80/3 days.