Multiple choice

A contractor undertook a project to construct the wall of a factory compound in 180 days. He employed some men. After 100 days, he found that half of the work was completed. So, he employed 56 more men to finish the work on time. How many men did he employ in the beginning?

  1. 224

  2. 245

  3. 256

  4. 270

  5. 280

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

Let M be the number of men. M * 100 = 0.5 Work. Remaining work = 0.5 Work. Remaining time = 180 - 100 = 80 days. (M + 56) * 80 = 0.5 Work. So, 100M = 80(M + 56) => 100M = 80M + 4480 => 20M = 4480 => M = 224.