Multiple choice

A certain number of persons can complete a piece of work in 55 days. If there were 6 persons more, the work could be finished in 11 days less. How many persons were originally there?

  1. 21

  2. 24

  3. 27

  4. 29
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let x be the number of persons. x * 55 = (x + 6) * (55 - 11). 55x = (x + 6) * 44. 55x = 44x + 264. 11x = 264 => x = 24.

AI explanation

Let the original number of persons be x. Using the formula M1 times D1 equals M2 times D2, we have x multiplied by 55 equals (x plus 6) multiplied by (55 minus 11). This simplifies to 55x equals 44x plus 264, which yields 11x equals 264, so x equals 24. The original number of persons was 24.

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