SOLUTION: Henry can paint the house in 4 hours, and Claude can paint the house in 3 hours. How long would it take the two of them to do the job together?

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Question 370661: Henry can paint the house in 4 hours, and Claude can paint the house in 3 hours. How long would it take the two of them to do the job 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 to do the job together

Question states. Per hour being the equalizer.

1/4 + 1/3 = 1/x  Multiplying each side of the equation  by 12x so as all denominators = 1

3x + 4x = 12

7x = 12

x = 1.714hr , time it would take  to do the job together