If 5 men can do a piece of work in 10 days and 12 women can do the same work in 15 days, the number of days required to complete the work by 5 men and 6 women is
- 7½ days
- 8 days
- 9½ days
- 12 days
Let x and y be the one-day work of one man and one woman respectively.
Total amount of work = 50x = 180y
5x = 18y
The amount of work done per day when 5 men and 6 women work together
= 5x + 6y
= 5(18y/5) + 6y = 24y
Total time taken = Total work / Work per Day
= 7½ days
The correct option is A.