Multiple choice

54 men can do a piece of work in 90 days, all working at the same rate. If 18 men leave after 62 days, how many days will the remaining men take to complete the work?

  1. 53

  2. 45

  3. 42

  4. 21
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total work is 54 * 90 man-days. After 62 days, 54 * 62 work is done. Remaining work is 54 * 28. With 18 men leaving, 36 men remain. Days required = (54 * 28) / 36 = 1.5 * 28 = 42 days.

AI explanation

Calculate the total work as 54 men multiplied by 90 days, which equals 4860 man-days. The work done in the first 62 days is 54 multiplied by 62, resulting in 3348 man-days completed. This leaves 4860 minus 3348, which is 1512 man-days of work remaining. Divide the remaining 1512 man-days by the 36 remaining men to find it takes them 42 days to finish the work.

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