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?

Algebra ->  Rate-of-work-word-problems -> 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?       Log On


   

Question 440803: 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

Sally can paint a house in 4 hours, and John can paint the same house in 6 hour

Let x represent the time for both of them to paint the house together

Question states*** Per hour the equalizer

  1/4 + 1/6 = 1/x

  3x + 2x = 12   |multiplying thru by 12x so as all denominators=1

     5x = 12

      x = 12/5 or 2.4hr Or 2 hour and 24 min