Multiple choice

Working 8 hours a day, 12 men can complete a task in 16 days. If the same task must be completed in 8 days only, then how many more people would be required if all of them work for 12 hours a day?

  1. 6

  2. 10

  3. 8

  4. 4

  5. 12
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total work = 12 * 8 * 16 = 1536 man-hours. New requirement: 1536 / (8 * 12) = 16 men. Original men = 12. Additional men = 16 - 12 = 4.

AI explanation

Using the formula M1 * D1 * H1 = M2 * D2 * H2, the total man-hours required for the task are 12 * 16 * 8 = 1536 man-hours. For the new scenario, let the required number of people be M2, giving the equation 1536 = M2 * 8 * 12. Solving for M2 gives 16 people. Since 12 men are already working, 4 more people are required.

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