2 men and 7boys can do a piece of work in 4 days.It is done by 4 men and 4 boys in 3 days,How long would it take for one man or one boy yo do it?
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Answered by
1
Answer:
Step-by-step explanation:
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akshitsaj:
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Answered by
1
Answer:
15 days, 60 days
Step-by-step explanation:
(i)
2 men and 7 boys can do work in 4 days. That means in one day they can finish (1/4) work.
2m + 7b = (1/4).
(ii)
4 men and 4 boys can do work in 3 days. That means in 1 day they can finish (1/3) work.
4m + 4b = (1/3)
On solving (i) * 2 & (ii), we get
⇒ 4m + 14b = (1/2)
⇒ 4m + 4b = (1/3)
-----------------------
10b = 1/6
b = 1/60.
Substitute b = (1/60) in (ii), we get
⇒ 4m + 4b = 1/3
⇒ 4m + 4(1/60) = 1/3
⇒ 4m + 1/15 = 1/3
⇒ 4m = 1/3 - 1/15
⇒ 4m = 4/15
⇒ m = 1/15
Therefore:
One men can finish the work in 15 days and 1 boy can finish it in 60 days.
Hope it helps!
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