SOLUTION: If I can paint a house in 4hrs and You can paint a house in 6hrs...... How long will it take us to paint the house together? Please help ASAP

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If I can paint a house in 4hrs and You can paint a house in 6hrs...... How long will it take us to paint the house together? Please help ASAP      Log On


   

Question 441815: If I can paint a house in 4hrs and You can paint a house in 6hrs...... How long will it take us to paint the house together?
Please help ASAP
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add the separate rate of painting
houses/hour ( for you ) + houses/hour ( for me ) = houses / hour ( together )
Let t = time to paint house working together
+1%2F4+%2B+1%2F6+=+1%2Ft+
Multiply both sides by 12t
+3t+%2B+2t+=+12+
+5t+=+12+
+t+=+2.4+
Note that +.4+%2A+60+=+24+ minutes
It will take 2 hours and 24 minutes working together