If 2 men and 8 women can do a piece of work in 5 days while 3 men and 4 women can do the same work in 6 days, then the time taken by 1 man and 2 women in doing the same work is ______.a)18 daysb)20 daysc)15 daysd)12 daysCorrect answer is option 'C'. Can you explain this answer? - EduRev Airforce X Y / Indian Navy SSR Question

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If 2 men and 8 women can do a piece of work in 5 days while 3 men and 4 women can do the same work in 6 days, then the time taken by 1 man and 2 women in doing the same work is ______.

a)
18 days
b)
20 days
c)
15 days
d)
12 days

Correct answer is option 'C'. Can you explain this answer?

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Verified Answer

If 2 men and 8 women can do a piece of work in 5 days while 3 men and ...

Given:
2m + 8w = 5 days
3m + 4w = 6 days
Formula used:
Total work = Efficiency × days
Calculations:
⇒ (2m + 8w)5 = (3m + 4w)6
⇒ 10m + 40w = 18m + 24w
⇒ 16w = 8m
⇒ m/w = 2/1
⇒ Total work = (2 × 2 + 8 × 1) × 5
⇒ Total work = 12 × 5 = 60
Time taken by 1m and 2 w = 60/(1 × 2 + 2 × 1)
⇒ 15 days
∴ Time taken by 1 man and 2 woman is 15 days.

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If 2 men and 8 women can do a piece of work in 5 days while 3 men and ...

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If 2 men and 8 women can do a piece of work in 5 days while 3 men and 4 women can do the same work in 6 days, then the time taken by 1 man and 2 women in doing the same work is ______.a)18 daysb)20 daysc)15 daysd)12 daysCorrect answer is option 'C'. Can you explain this answer?

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