Multiple choice

A contractor undertook to complete a project in 90 days and employed 60 men on it. After 60 days, he found that $\displaystyle \frac{3}{4}$ of the work has already been completed. How many men can he discharge so that the project may be completed on time ?

  1. 15

  2. 20

  3. 25

  4. 30
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Work done = 3/4 in 60 days by 60 men. Remaining work = 1/4. Remaining time = 90 - 60 = 30 days. Let x be men needed. (60 * 60) / (3/4) = (x * 30) / (1/4). 3600 / 0.75 = 30x / 0.25. 4800 = 120x. x = 40. Men to discharge = 60 - 40 = 20.

AI explanation

Using the work equivalence formula, (60 men * 60 days) / (3/4) = (M men * 30 days) / (1/4). Solving this yields M = 40, which is the total number of men needed for the remaining work. Therefore, the contractor can discharge 60 minus 40, which is 20 men.

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