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

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If Sally can paint a house in 4 hours and Paul can paint the same house in 6 hours, how long will it take them to paint it together?      Log On


   

Question 432570: If Sally can paint a house in 4 hours and Paul can paint the same house in 6 hours, how long will it take them to paint it together?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x represent time it would take them to paint it together

Question states*** Per hour the Equalizer

  1/4 + 1/6 = 1/x   |Multiplying thru by 12x so as all denominators = 1

  3x + 2x = 12

     5x = 12

      x = 12/5 or  2.4 hrs



CHECKING our Answer***

 1/4 + 1/6 = 3/12 + 2/12 = 1/(12/5) = 5/12