Discussion :: Time and Work
- A contractor undertakes to complete the job in 38 days. He assigns 30 workers on the job, and after 25 days he assigns 5 more workers and finishes the work one day before the given time. If he did not assign extra numbers of workers then work will be late by how many days.
Answer : Option A
Explanation :
ATQ, target = work should be finished in 38 days
Now, after assigning more workers, the work is finished in 37 days.
Note: man * days = total work
As per the given information,
Total work = (30 Men * 25 days) + (35 men * 12 days) = 30*25 + 35*12
Or, total work = 750 + 420 = 1170
Note: 1 worker = 1 unit work per day
So, if work is done by 30 workers, i.e., 30 units of work per day
The number of days required = total work/ work per day
= 1170/30= 39 days
Target with 30 workers = 38, but it will take 39 days
So, work will be late by 1 day.
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