Multiple choice

A contractor employed $210$ men to build a house in $60$ days. After $12$ days, he was joined by $70$ more men. In how many days will the remaining work be finished?

  1. $35$days
  2. $36$days
  3. $38$days
  4. $40$days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total work is 210 men * 60 days = 12,600 man-days. After 12 days, 210 * 12 = 2,520 man-days are completed, leaving 10,080 man-days. With 70 more men, there are 280 men working, so 10,080 / 280 = 36 days.

AI explanation

The total work is 210 men multiplied by 60 days, which equals 12600 man-days. Work done in the first 12 days is 210 men multiplied by 12 days, totaling 2520 man-days, leaving 10080 man-days of remaining work. With the 70 additional men, the new workforce is 280 men. Dividing the remaining 10080 man-days by 280 men gives 36 days to finish the work.

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