# If 3 men or 6 boys can finish a work in 20 days how long will 4 men and 12 boys take to finish the same work ?

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by rutvianand

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by rutvianand

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See, 3 men or 6 boys = 20 days

⇒**3m or 6b = 20**

or,** 3m = 6b**

4m + 12b =?

now,

from ,**M×D = M'× D'**

⇒6b ×20 = (4m +12b)×D'

⇒6b ×20 =(8b +12b)×D'

∵ (m =2b)

∴120b = 20b × D'

⇒D' =6 days

**They will take 6 days to complete the same work.**

Hope, this will help you :)

⇒

or,

4m + 12b =?

now,

from ,

⇒6b ×20 = (4m +12b)×D'

⇒6b ×20 =(8b +12b)×D'

∵ (m =2b)

∴120b = 20b × D'

⇒D' =6 days

Hope, this will help you :)