Multiple choice

Six men working 10 hours a day can do a piece of work in 24 days. In how many days will 9 men working for 8 house a day do the same work?

  1. 10 days

  2. 15 days

  3. 20 days

  4. 12 days

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The total work is 6 × 10 × 24 = 1440 man-hours. At 9 men working 8 hours daily, the daily work is 72 man-hours, so the required time is 1440/72 = 20 days.

AI explanation

Using the Man-Days formula, M1 * D1 * H1 = M2 * D2 * H2. Substituting the values gives 6 * 24 * 10 = 9 * D2 * 8. Solving for D2, we get 1440 = 72 * D2, which simplifies to 20 days.

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