Multiple choice

8 men and 4 women together can complete a piece of work in 4 days. Work done by a man in one day is double the work done by a woman in one day. If 8 men and 4 women started working, and after 2 days, 4 men left and 4 new women joined, then in how many more days will the work be completed?

  1. 2.5 days

  2. 7.5 days

  3. 6 days

  4. 4 days

  5. 9 days
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

8M + 4W = 4 days. 1M = 2W, so 8M + 4W = 16W + 4W = 20W. Total work = 20W * 4 = 80W-days. After 2 days, 40W-days done. Remaining = 40W-days. New group: 4M + 8W = 8W + 8W = 16W. Time = 40W / 16W = 2.5 days.

AI explanation

Let a woman's daily work be 1 unit, so a man's daily work is 2 units. The total work is (8 men * 2 + 4 women * 1) * 4 days = 80 units. In the first 2 days, the team completes (16 + 4) * 2 = 40 units, leaving 40 units. The new team has 4 men and 8 women, so their daily work is (4 * 2 + 8 * 1) = 16 units. The time to complete the remaining work is 40 / 16 = 2.5 days.

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