Multiple choice

2 men and 3 women can complete a piece of work in 20 days while 3 men and 2 women can complete the same work in 16 days. Find out in how many days 2 men and 1 woman can complete the same work?

  1. (a) 24 days

  2. (b) 25 days

  3. (c) 26 days

  4. (d) 27 days

  5. (e) 28 days

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

2M + 3W = 1/20, 3M + 2W = 1/16. Solving these: 6M + 9W = 3/20, 6M + 4W = 2/16. 5W = 3/20 - 1/8 = (6-5)/40 = 1/40. W = 1/200. M = (1/20 - 3/200) / 2 = 7/400. 2M + 1W = 14/400 + 2/400 = 16/400 = 1/25. Time = 25 days.