SOLUTION: Alice can paint the house in 5 hours, and Bob can paint it in 7 hours. How long will it take them if they work together?

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Question 370662: Alice can paint the house in 5 hours, and Bob can paint it in 7 hours. How long will it take them if they work together?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Let x represent the time it would take working together

Question states. Per hour being the equalizer.

1/5 + 1/7 = 1/x  Multiplying each side of the equation  by 35x so as all denominators = 1

7x + 5x = 35

12x = 35

x = 2.92hr , time it would take working together