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50 men can complete a work in 40 days. They begin the work together but a batch of 5 men left after each period of 10 days. What is the time to complete the work ?
45 days
50 days
55 days
60 days
Correct option:2
Formula Used: Total Work = Number of Men x Number of Days Solution: Total work = 50 men x 40 days = 2000 man-days First 10 days: => 50 men x 10 days = 500 man-days emaining work = 2000 man-days - 500 man-days = 1500 man-days Next 10 days: => 45 men x 10 days = 450 man-days Remaining work = 1500 man-days - 450 man-days = 1050 man-days Next 10 days: => 40 men x 10 days = 400 man-days Remaining work = 1050 man-days - 400 man-days = 650 man-days Next 10 days: => 35 men x 10 days = 350 man-days Remaining work = 650 man-days - 350 man-days = 300 man-days Next 10 days: => 30 men x 10 days = 300 man-days Remaining work = 300 man-days - 300 man-days = 0 man-days => Total time = 10 days + 10 days + 10 days + 10 days + 10 days = 50 days The time to complete the work is 50 days.
By: Parvesh Mehta ProfileResourcesReport error
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