Multiple choice

A builder decided to build a farmhouse in 40 days. He employed 100 men in the beginning and 100 more after 35 days and completed the construction in stipulated time. If he had not employed the additional men, how many days behind schedule would it have been finished?

  1. 5 days

  2. 6 days

  3. 8 days

  4. 10 days
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Work = 100 men × 40 days = 4000 man-days. Work done in first 35 days by 100 men = 3500 man-days. Remaining work = 500 man-days, done by 200 men in 2.5 days. Without extra men, 500 man-days would take 500/100 = 5 more days. Total = 35 + 5 = 40 days, so delay = 45 - 40 = 5 days.

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