Multiple choice

50 men can complete a work in 28 days. They started the work together, but at the end of each 10th day, 10 men left the job. The work was completed in how many days?

  1. 36

  2. 38

  3. 40

  4. 45
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Work = 50 * 28 = 1400 units. Days 1-10: 50 * 10 = 500. Days 11-20: 40 * 10 = 400. Days 21-30: 30 * 10 = 300. Days 31-40: 20 * 10 = 200. Total = 500+400+300+200 = 1400. Completed in 40 days.

AI explanation

The total work is 50 men multiplied by 28 days, giving 1400 man-days. In the first 10 days, 50 men complete 500 man-days, and in the next 10 days, 40 men complete 400 man-days, leaving 500 man-days of work. In the third cycle, 30 men work for 10 days to finish 300 man-days, leaving the final 200 man-days. The remaining 20 men complete this leftover work in 10 days (200 divided by 20), bringing the total time to 40 days.

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