Multiple choice

6 men can complete a certain piece of work in 4 days, whereas 8 women can complete the same piece of work in 4 days. 3 men start working on the job and they quit the job after working for 2 days. How many women should be employed to complete the remaining work, if it is to be completed within the next 3 days?

  1. 6 women

  2. 9 women

  3. 8 women

  4. 24 women

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

6 men = 4 days, so 1 man = 24 days. 8 women = 4 days, so 1 woman = 32 days. 3 men work for 2 days = 3 * 2 / 24 = 6/24 = 1/4 of work. Remaining work = 3/4. 3/4 work in 3 days = 1/4 work per day. 1 woman does 1/32 work per day. Number of women = (1/4) / (1/32) = 8 women.

AI explanation

The total work is equivalent to 6 men x 4 days = 24 man-days, and also 8 women x 4 days = 32 woman-days. Since 1 man-day equals 32/24 = 4/3 woman-days, the 3 men working for 2 days complete 6 man-days, which is 6 x 4/3 = 8 woman-days. This leaves 32 - 8 = 24 woman-days of remaining work. To complete this in 3 days, 24 / 3 = 8 women should be employed.

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