SOLUTION: If one painter can paint a house in 4 hours and another painter can paint a house in 3 hours. If they painted together, how long will it take for them to paint 2 houses?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If one painter can paint a house in 4 hours and another painter can paint a house in 3 hours. If they painted together, how long will it take for them to paint 2 houses?      Log On


   



Question 779948: If one painter can paint a house in 4 hours and another painter can paint a house in 3 hours. If they painted together, how long will it take for them to paint 2 houses?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of painting
1st painter's rate:
( 1 house painted ) / ( 4 hrs )
2nd painter's rate:
( 1 house painted ) / ( 3 hrs )
-------------------------
Let +t++ = time in hours for them
to paint 2 houses working together
------------------------------
+1%2F4+%2B+1%2F3+=+2%2Ft+
Multiply both sides by +12t+
+3t+%2B+4t+=+24+
+7t+=+24+
+t+=+3.429+
+.429%2A60+=+26+
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It will take them 3 hrs and 26 min to
paint 2 houses