If 10 persons can do a job in 20 days than 20 persons with twice efficiency can do the same job in ____?
- 5 days
- 10 days
- 3 days
- None of these
Explanation
10 persons can do the job in 20 days, which means the total work required is 10 x 20 = 200 person-days.
If 20 persons are working with twice the efficiency, their effective work capacity is doubled, so they can do the work of 40 persons (20 x 2).
Now, let's calculate the time taken by 20 persons with twice the efficiency to complete the same job:
Total work required = 200 person-days
Effective work capacity = 40 persons
Time taken = Total work required / Effective work capacity
= 200 person-days / 40 persons
= 5 days
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