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60 men can complete a work in 40 days. They start work together but after every 10 day, 5 men leave the work. In how many
days will the work be completed?
47.5
49.5
42.5
45.5
- Initially, the total amount of work is calculated as 60 men working for 40 days. So, the work is 60 x 40 = 2400 man-days.
- The first 10 days involve 60 men, so work completed = 60 men x 10 days = 600 man-days.
- 5 men leave after every 10 days, reducing the workforce gradually.
- 10-20 days: 55 men work, so 55 x 10 = 550 man-days completed.
- 20-30 days: 50 men work, so 50 x 10 = 500 man-days completed.
- 30-40 days: 45 men work, so 45 x 10 = 450 man-days completed.
- Remaining work = 2400 - (600 + 550 + 500 + 450) = 300 man-days.
- From day 40 onwards, 40 men work. To complete 300 man-days, it takes 300/40 = 7.5 days.
- Total days = 40 days + 7.5 days = 47.5 days.
The correct option is:
Option 1 — 47.5 days
By: santosh ProfileResourcesReport error
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