SOLUTION: Ben paint a house in 30 hours and Amy paints one in 82.5 hours. How long does it take to paint the house together?

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Question 972055: Ben paint a house in 30 hours and Amy paints one in 82.5 hours. How long does it take to paint the house together?
Answer by amarjeeth123(569) About Me  (Show Source):
You can put this solution on YOUR website!
Ben paint a house in 30 hours.
In 1 hour Ben can paint (1/30) of the house.
Amy paints one in 82.5 hours
In 1 hour Amy can paint (1/82.5)of the house.
In 1 hour they can together paint (1/30+1/82.5) of the house i.e.(0.0454545454545) of the house
They can paint the house in 1/0.0454545454545=22 hours.
They can paint the house together in 22 hours.