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10 men can complete a work in 8 days. 20 women can complete the same work in 6 days. In how many days 16 men and 18 women can complete the same work, working together ?
  • a)
    19/7
  • b)
    20/7
  • c)
    24/7
  • d)
    17/7
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
10 men can complete a work in 8 days. 20 women can complete the same ...
10m → 8 days ⇒ 20m → 4 days ⇒ 1m → 80 days
20w → 6 days ⇒ 20w → 6 days ⇒ 1w → 120 days
∴ 2m = 3w
Thus, 16m + 18w = 24w + 18w = 42w
20w x 6 = 42w x
(Where x is the number of days taken by 42 women)
∴ x = 20/7 days ⇒ 2(6/7) days
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10 men can complete a work in 8 days. 20 women can complete the same work in 6 days. In how many days 16 men and 18 women can complete the same work, working together ?a)19/7b)20/7c)24/7d)17/7Correct answer is option 'B'. Can you explain this answer?
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