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Question

A work can be completed by 40 workers in 40 days. If 5 workers leave every 10 days, in how many days work will be completed?
  1. 55.66
  2. 56.66
  3. 56.44
  4. 54.66

A
55.66
B
56.44
C
56.66
D
54.66
Solution
Verified by Toppr

The correct option is C 56.66
A work can be completed by 40 workers in 40 days.
Number of days required to complete the work by one worker =40×40=1600 mandays(days per worker)
Day----mandays----total mandays
10 400 400
20 350 750
30 300 1050
40 250 1300
50 200 1500
:
After 50 days:
1500 man-hrs have been accumulated, 15 men are on the job.
Then, 100 more man-days required
15d=100
d=100/15=6.66
Total no. of days required =50+6.66=56.66 days.
Hence, option C is correct.

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