Multiple choice

A certain number of persons can complete a piece of work in 30 days. If there were 6 persons more, the work could be finished in 6 days less. How many persons were originally there?

  1. 17

  2. 24

  3. 30

  4. 22

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let n be the original number of persons. Work = n × 30. With n+6 persons, work = (n+6) × 24. Equating: 30n = 24(n+6). Solving: 30n = 24n + 144, so 6n = 144, giving n = 24. Option B is correct.