Multiple choice

12 women can complete a project in 36 days and 15 men can complete the same project in 27 days. 16 women start working and after 6 days, they are replaced by 'x' men. If 'x' men can complete the remaining work in 5 days, what is the value of 'x'?

  1. 57

  2. 63

  3. 45

  4. 21

  5. 42

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

12 women * 36 days = 432 man-days. 15 men * 27 days = 405 man-days. 1 woman = 405/432 = 0.9375 men. 16 women work for 6 days = 16 * 0.9375 * 6 = 90 man-days. Remaining work = 405 - 90 = 315 man-days. x men in 5 days = 315 / 5 = 63 men.