Multiple choice

If 14 men working 8 hours a day for 7 days can complete a job, then how many hours a day do 28 men have to work to complete the same job in 2 days?

  1. 14 hours

  2. 15 hours

  3. 12 hours

  4. 21 hours

  5. 24 hours
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A Correct answer
Explanation

Using the formula M1 * D1 * H1 = M2 * D2 * H2: 14 * 7 * 8 = 28 * 2 * H2. This simplifies to 784 = 56 * H2, so H2 = 14.

AI explanation

Using the man-hour formula, M1 * H1 * D1 = M2 * H2 * D2. Substituting the given values yields 14 * 8 * 7 = 28 * x * 2. Solving for x gives x = (14 * 8 * 7) / (28 * 2), which simplifies to 14 hours.

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