Question
Download Solution PDFA contractor decided to complete a work in 80 days and employed 60 men at the beginning and 20 men additionally after 20 days and got the work completed as per schedule. If he had not employed the additional men, how many extra days would he have needed to complete the work (round off to the nearest integer)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A contractor decided to complete a work in 80 days and employed 60 men at the beginning and 20 men additionally after 20 days and got the work completed as per schedule.
Concept used:
Total work = Efficiency of each worker × Number of days to finish × Number of total workers
Calculation:
According to the question,
The contractor employed 60 men at the beginning and 20 men additionally after 20 days. So 80 men are employed for 60 days.
Total work = 20 × 60 + 60 × 80 = 6000 units
So if he had not employed the additional men, the time is taken to complete the work by 60 men
⇒6000 units/ 60
⇒ 100 days
Now, extra days = 100 - 80 = 20 days
∴ If he had not employed the additional men, 20 extra days he would have needed to complete the work.
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