Question
Download Solution PDFA work can be finished by 10 men in 8 days and by 10 women in 7 days. In how many days will the work be finished if 10 women and 10 men work on alternate days, with the women starting on the first day?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
10 men can complete the work in 8 days
10 women can complete the work in 7 days
Concept:
Work = Time × Efficiency
Solution:
According to question,
10M × 8 = 10W × 7
M : W = 7 : 8
Total work = 10 × 7 × 8 = 560 units
Total efficiency of Men and Women = 7 + 8 = 15
2 days work when 10 men and 10 women work on alternate days = 15 × 10 = 150 units
6 days work = 150 × 3 = 450 units
7th day 10 women work = 10 × 8 = 80 units
Remaining work = 560 - (450 + 80) = 30 units
10 men complete the remaining work = 30/(10 × 7) = 3/7 days
Total days taken to complete the work = 7 + 3/7 = 7\(3\over7\)days
Hence, total days taken to complete the work 7\(3\over7\)days.
Last updated on Jun 22, 2025
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