Multiple choice

Certain amount of work is completed by 10 men in 60 days working 9 hours a day. How many additional men will be required if the same work is to be completed in 30 days working 5 hours a day?

  1. 26

  2. 20

  3. 12

  4. 15

  5. 14
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A Correct answer
Explanation

Using the formula (M1 * D1 * H1) = (M2 * D2 * H2), we have (10 * 60 * 9) = (M2 * 30 * 5). Solving for M2 gives 5400 / 150 = 36 men. Since 10 men were already working, the additional men required is 36 - 10 = 26.

AI explanation

Using the man-days-hours formula, the total work is 10 men multiplied by 60 days multiplied by 9 hours, which equals 5400 man-hours. To finish this work in 30 days at 5 hours per day, the total men required are 5400 divided by 150, giving 36 men. Since 10 men are already working, the company needs 36 minus 10, which is 26 additional men.

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