If 10 men or 12 women take 40 days to complete a piece of work, how long will 15 men and 6 women take to do the same work?
Answers
Productivity of 10 men = Productivity of 12 women
⇒ Productivity of 1 man = Productivity of (12/10) women.
∴Productivity of (15 men + 6 women)
= Productivity of (15 + 6 × (10/12) ) men = Productivity of 20 men
If 10 men take 40 days, then 20 men will take (10/20) × 40 days = 20 days.
(Again note the inverse variance relationship used in computing the number of days). Hence, answer is 20 days.
Answer:
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Step-by-step explanation:
Productivity of 10 men = Productivity of 12 women
⇒ Productivity of 1 man = Productivity of (12/10) women.
∴Productivity of (15 men + 6 women)
= Productivity of (15 + 6 × (10/12) ) men = Productivity of 20 men
If 10 men take 40 days,
then 20 men will take (10/20) × 40 days = 20 days.
(Again note the inverse variance relationship used in computing the number of days).
Hence, answer is 20 days.
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