SOLUTION: sally can paint a room in 7 hours while it takes steve 9 hours how long would it take them to paint a room together?

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Question 1021553: sally can paint a room in 7 hours while it takes steve 9 hours how long would it take them to paint a room together?
Answer by ikleyn(52875) About Me  (Show Source):
You can put this solution on YOUR website!
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sally can paint a room in 7 hours while it takes steve 9 hours how long would it take them to paint a room together?
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Sally's rate of painting room is 1%2F7 of the painting area per hour.

Steve's rate of painting room is 1%2F9 of the painting area per hour.

Their combined rate is 1%2F7+%2B+1%2F9 = 9%2F63+%2B+7%2F63 = 16%2F63 of the painting area per hour.

Hence, it will take 63%2F16 = 315%2F16 of an hour for Sally and Steve to paint the room, if they work together.

For many other similar solved problems on joint work see the lesson
Using fractions to solve word problems on joint work in this site.