SOLUTION: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

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Question 385533: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x represent the time it will take them together

Question States:  Per hour being the Equalizer

 1/4 + 1/6 = 1/x  Mulitplying each term by 12x so as all denominators = 1

  3x + 2x = 12

   5x = 12

    x = 12/5 = 2.4 hr or 2hr and 24min together.



CHECKING our Answer

  3/12 + 2/12 = 5/12 = 1/(12/5)