Multiple choice

If 5 women or 10 men can complete a piece of work in 56 days, in how many days will 5 women and 4 men working together complete the same work?

  1. 45

  2. 48

  3. 35

  4. 40

  5. None of these

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

5 women's work = 56 days, so total work = 5 × 56 = 280 woman-days. 10 men's work = 56 days, so total work = 10 × 56 = 560 man-days. Therefore 1 woman = 560/280 = 2 men. 5 women + 4 men = 5(2) + 4 = 14 men. Time = 560/14 = 40 days. Option D is correct.