Multiple choice

Two men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is?

  1. 6 days

  2. 7 days

  3. 5 days

  4. 10 days

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

Work = (2M + 3W) * 7 * 5 = 70M + 105W. Also Work = (4M + 4W) * 3 * 7 = 84M + 84W. Equating: 70M + 105W = 84M + 84W => 21W = 14M => 3W = 2M. Total work = 70M + 105(2/3 M) = 70M + 70M = 140M. 7 men working 4 hours/day: 140M / (7M * 4) = 140/28 = 5 days.