Multiple choice

Fourteen men can finish a task in 20 days by working 6 hours a day. How many days will 15 men take to finish the same task by working 7 hours a day?

  1. 16 days

  2. 20 days

  3. 24 days

  4. 32 days
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A Correct answer
Explanation

Use the formula (M1 * D1 * H1) = (M2 * D2 * H2). 14 * 20 * 6 = 15 * D2 * 7. 1680 = 105 * D2. D2 = 1680 / 105 = 16 days.

AI explanation

Using the man-days formula M1 times D1 times H1 equals M2 times D2 times H2, we substitute the given values. The equation becomes 14 men multiplied by 20 days multiplied by 6 hours equals 15 men multiplied by the unknown days multiplied by 7 hours. Solving for the unknown days gives 1680 divided by 105, which equals 16 days.

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