Question
Download Solution PDFA group of men decided to do a job in 6 days, but 18 men dropped out every day. If the job was completed in 8 days, then how many men initially decided to do the job.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A group of men decided to do a job in 6 days, but 18 men dropped out every day.
The job was completed in 8 days.
Concept used:
Total work = Efficiency of each worker × Number of days to finish × Number of total workers
Calculation:
Let there be Q men initially with the efficiency of 1 unit per day.
Total work = Q × 1 × 6 = 6Q units
According to the question,
Q + (Q - 18) + (Q - 18 × 2) + .... + (Q - 18 × 7) = 6Q
⇒ 8Q - (18 + 36 + .... + 126) = 6Q
⇒ 2Q = 504
⇒ Q = 252
∴ There were 252 men initially.
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