Multiple choice

$24$ men working at $8$ hours per day can do a piece of work in $15$ days. In how many days can $20$ men working at $9$ hours per day do the same work?

  1. $14$ days
  2. $16$ days
  3. $13$ days
  4. $17$ days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Using the formula (M1 * D1 * H1) = (M2 * D2 * H2), we have 24 * 15 * 8 = 20 * D2 * 9. Solving for D2: D2 = (24 * 15 * 8) / (20 * 9) = 2880 / 180 = 16.

AI explanation

Using the man-hour formula, the total work equals 24 men times 8 hours per day times 15 days, giving 2880 man-hours. To find the required days for 20 men working 9 hours a day, we divide 2880 by the product of 20 and 9. This gives the result of 16 days.

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