Multiple choice

36 men can do a piece of work in 16 days. They start the work, but after 4 days, 6 men are replaced by 48 women. Find the number of days in which the remaining work becomes complete if the efficiency of 1 woman is 50\% that of a man?

  1. 6 days

  2. 4 days

  3. 5 days

  4. 8 days

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

36 men complete work in 16 days, so total work = 576 man-days. After 4 days, work done = 144 man-days, remaining = 432 man-days. New team: 30 men + 48 women (where 2 women = 1 man, so 48 women = 24 man-equivalent) = 54 man-equivalent. Days needed = 432/54 = 8 days exactly. The claimed answer D (8 days) is correct.

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