SOLUTION: if sally paints a house in 4 hours and john paints the same house in 6 hours how long will it take for them both to paint the house

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Question 219587: if sally paints a house in 4 hours and john paints the same house in 6 hours how long will it take for them both to paint the house
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the number of hours it takes Sally to paint the house. Let represent the number of hours it takes John to paint the house.

If Sally can paint the house in hours, she can paint of the house in one hour. Likewise, John can paint of the house in one hour. So given both working together, the house will get painted at a rate of:

of the house per hour.

Therefore the entire house will be painted in:

hours.

Just plug in the values you were given and do the arithmetic.

John