If the ratio of work of efficiency of man and women is 3 ∶ 5 and 24 men can complete a piece of work in 15 days, find the time taken by 10 women to complete the same piece of work.

- 22 days
- 21.6 days
- 23 days
- 25.5 days

Option 2 : 21.6 days

**Given:**

Ratio of work of efficiency of man and women is 3 ∶ 5.

24 men can complete a piece of work in 15 days.

**Concepts used:**

Time = Work/Efficiency

1 day work of individual = Work/Time

**Calculation:**

1 day work of 1 man = 1/(24 × 15) = 1/360

⇒ Efficiency of 1 man = 1/360

Let the efficiency of 1 women be x.

Ratio of efficiency of 1 man and 1 women = 3 ∶ 5

⇒ 1/360/x = 3/5

⇒ Efficiency of 1 women = 1/216

⇒ 1 day work of 1 woman = 1/216

⇒ 1 day work of 10 women = 10/216 = 5/108

⇒ Time taken by 10 women to complete full work = 108/5 days = 21.6 days

**∴ 10 women can complete full piece of work in 21.6 days.**

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