Multiple choice

A certain number of men can complete a piece of work in 28 days. If there were 15 men more, the work could be finished in 10 days less. How many men are required to complete the work in reduced number of days?

  1. 42

  2. 23

  3. 32

  4. 27

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

Let M be the number of men. M * 28 = (M + 15) * (28 - 10). 28M = 18(M + 15). 28M = 18M + 270. 10M = 270. M = 27. The question asks for the number of men required to complete the work in the reduced time (18 days), which is M + 15 = 27 + 15 = 42.

AI explanation

Using the constant work formula where the initial number of men is M, the equation is 28M = (28 - 10)(M + 15). Simplifying the right side gives 28M = 18M + 270, and solving for M results in 10M = 270, meaning the original number of men is 27. Adding the 15 additional men to the original 27 men gives 42 men required to complete the work in the reduced number of days.

Keep practicing — related questions