Multiple choice

8 men can complete a piece of work in 20 days. 8 women can complete the same work in 32 days. In how many days will 5 men and 8 women together complete the same work?

  1. 16 days

  2. 12 days

  3. 14 days

  4. 10 days

  5. 15 days
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

1 man's 1 day work = 1/(8*20) = 1/160. 1 woman's 1 day work = 1/(8*32) = 1/256. 5 men + 8 women = 5/160 + 8/256 = 1/32 + 1/32 = 2/32 = 1/16. Time taken = 16 days.

AI explanation

The total work is 160 man-days (8 x 20) or 256 woman-days (8 x 32), establishing that 1 man equals 1.6 women. The capacity of 5 men and 8 women is 16 women (5 x 1.6 + 8). They will complete the 256 woman-days of work in 256 / 16, which is 16 days.

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