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# If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour?

how long will it take for both of them to paint the house together?

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- ??????Lv 79 years agoFavorite Answer
1/(1/4 + 1/6)

= 1/((3+2)/12)

= 12/5

= 2.4 hours

= 2 hours 24 minutes

Reasoning :

work done 1/4 th house in one hour for Sally

and 1/6th of the house in one hour for John

So together they do 1/4 + 1/6 th part of the house in one hour.

So the time to do the entire house is the inverse of that (1/(1/4+1/6))

- ?Lv 79 years ago
Sally can paint 1/4 house in 1 hour.

John can paint 1/6 house in 1 hour.

So together they can paint (1/4 + 1/6 = 5/12) house in 1 hour.

Or it will take them 12/5 hr = 2 hr 24 min to paint 1 house.

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