SOLUTION: Jim can paint the fence in 5 hours, while Julie can paint it in 4 hours. How long will it take them if they work together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Jim can paint the fence in 5 hours, while Julie can paint it in 4 hours. How long will it take them if they work together?      Log On


   



Question 735433: Jim can paint the fence in 5 hours, while Julie can paint it in 4 hours. How long will it take them if they work together?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of working
( 1 fence / 5 hrs ) + ( 1 fence / 4 hrs ) = ( 1 fence / x hrs )
+1%2F5+%2B+1%2F4+=+1%2Fx+
Multiply both sides by +20x+
+4x+%2B+5x+=+20+
+9x+=+20+
+x+=+2+%2B+2%2F9+
+%282%2F9%29%2A60+=+13+%2B+1%2F3+
+%281%2F3%29%2A60+=+20+
It will take them 2 hrs 13 min 20 sec
check:
+1%2F5+%2B+1%2F4+=+1%2Fx+
+1%2F5+%2B+1%2F4+=+9%2F20+
+4%2F20+%2B+5%2F20+=+9%2F20+
OK