Correct Answer - 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.
