Question
Download Solution PDFA work can be finished in a day by 20 men, or by 30 women, or by 50 boys. 2 men and 5 boys work on alternate days and 6 women work on all days. If men work on the first day, the work is finished in ___________ days.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A work can be finished in a day by 20 men, or by 30 women, or by 50 boys.
2 men and 5 boys work on alternate days and 6 women work on all days.
Calculations:
Work done on the 1st day (2 men + 6 women) = (1/10) + (1/5) = (1/10) + (2/10) = 3/10
Work done on the 2nd day (5 boys + 6 women) = (1/10) + (1/5) = (1/10) + (2/10) = 3/10
Work done in 2 days = (3/10) + (3/10) = 6/10 = 3/5
Remaining work after 2 days = 1 - 3/5 = 2/5
Work done on the 3rd day (2 men + 6 women) = 3/10
Remaining work after 3 days = 2/5 - 3/10 = 4/10 - 3/10 = 1/10
Work done on the 4th day (5 boys + 6 women) = 3/10
Work completed on the 4th day itself.
⇒ The work is finished in 3 (1/3) days.
∴ The correct answer is option (4).
Last updated on Jul 8, 2025
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