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 25 women complete it?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
(4 men + 6 women) can complete a work = 8 days
(3 men + 7 women) can complete a work = 10 days
Formula used:
Total work = efficiency × time
Calculation:
⇒ (4 men + 6 women) × 8 = (3 men + 7 women) × 10
⇒ 2 men = 22 women
⇒ Men/women = 11/1
Total work = (3 men + 7 women) × 10
⇒ {(3 × 11) + (7 × 1)} × 10
⇒ (33 + 7) × 10 = 400
Time taken by 25 women to complete the work = 400/25 = 16 days
∴ The correct answer is 16 days.
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