Multiple choice

7 men and 3 women complete a work together in 10 days. 8 men and 2 women complete the same work in 8 days. How much work can be done by 12 men in one day?

  1. 17.5%

  2. 20%

  3. 21%

  4. 23%

  5. NA
Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

Let m be the work done by one man in one day and w be the work done by one woman in one day. The given conditions translate to the equations 7m + 3w = 1/10 and 8m + 2w = 1/8. Multiplying the first equation by 2 gives 14m + 6w = 1/5, and multiplying the second by 3 gives 24m + 6w = 3/8. Subtracting the first new equation from the second gives 10m = 3/8 - 1/5 = 7/40, so m = 7/400. The work done by 12 men in one day is 12 * 7/400 = 21/400, which equals 21%.

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