10 women can do a piece of work in 6 days, 6 men can do same work in 5 days and 8 children can do it in 10 days. What is the ratio of the efficiency of a woman, a man and a child respectively?
1). 4 : 6 : 3
2). 4 : 5 : 3
3). 2 : 4 : 3
4). 4 : 8 : 3
Work done by 1 women in 1 day is 1/10 × 1/6 = 1/60
Work done by 1 men in 1 day is 1/6 × 1/5 = 1/30
Work done by 1 children in 1 day is 1/8 × 1/10 = 1/80
⇒ Ratio of their efficiencies is 1/60 : 1/30 : 1/80
∴ their efficiencies are in ration 4 : 8 : 3