SOLUTION: 2. 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: 2. 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 643510: 2. 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 josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of painting
( 1 house / 4 hrs ) + ( 1 house / 6 hrs ) = 1 house / x hrs
+1%2F4+%2B+1%2F6+=+1%2Fx+
Multiply both sides by +12x+
+3x+%2B+2x+=+12+
+5x+=+12+
+x+=+2.4+
+.4+ hrs = +.4%2A60+=+24+ minutes
Working together, they can paint the house in 2 hrs 24 min