WBCS.LIVE practice question

If 5 men or 9 women can do a piece of work in 19 days, then in how many days will 3 men and 6 women do the same work?

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 15 days
  2. 10 days
  3. 12 days
  4. 18 days

Correct answer and explanation

Correct answer: 15 days

Explanation: āœ… Correct Answer: (A) 15 days šŸ“š Explanation: Step-1: Convert everything to one unit (either men or women). Given: 5 Men = 9 Women, so 1 Man = 9/5 Women. Step-2: Calculate total women for the target group: 3 Men + 6 Women = 3(9/5) + 6 = 27/5 + 6 = (27+30)/5 = 57/5 Women. Step-3: Use the formula M1D1 = M2D2. 9 Women x 19 days = (57/5) Women x D2. So, D2 = (9 x 19 x 5) / 57 = (9 x 1 x 5) / 3 = 15 days.