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

  1. 7½ days
  2. 8 days
  3. 9½ days
  4. 12 days

Answer

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

= 180y/24y

= 7½ days

The correct option is A.

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