Question
Download Solution PDF4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
4m + 6w = 8 days ----(1)
3m + 7w = 10 days ----(2)
Formula used:
Total work = Efficiency × days
Calculations:
By solving equations (1) and (2)
⇒ (4m + 6w) × 8 = (3m + 7w) × 10
⇒ 16m + 24w = 15m + 35w
⇒ 16m - 15m = 35w - 24w
⇒ m = 11w
⇒ m/w = 11/1
⇒ Total work = (4 × 11 + 6) × 8
⇒ Total work = 400 unit
⇒ Time taken by 10 woman = 400/10
⇒ Time taken by 10 woman = 40 days
∴ 10 women can complete the work in 40 days.
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