Question
Download Solution PDFA group of men decided to do a job in 11 days but 16 men left the work after each day. The work, as a result, got completed in 15 days. How many men were there initially in the group?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A group of men decided to do a job in 11 day, but 16 men dropped out every day.
The job was completed in 15 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 × 11 = 11Q units
According to the question,
Q + (Q - 16) + (Q - 16 × 2) + .... + (Q - 16 × 14) = 11Q
⇒ 15Q - (16 + 32 + .... + 224) = 11Q
⇒ 4Q = 16 × 105
⇒ Q = 420
∴ There were 420 men initially.
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