SOLUTION: heather can rake all the leaves in the yard in 4 hours, Beth can do it in 6. How long would it take them to do the yard together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: heather can rake all the leaves in the yard in 4 hours, Beth can do it in 6. How long would it take them to do the yard together?      Log On


   



Question 720385: heather can rake all the leaves in the yard in 4 hours, Beth can do it in 6. How long would it take them to do the yard together?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of raking
Heather's rate:
( 1 yard ) / ( 4 hrs )
Beth's rate
( 1 yard ) / ( 6 hrs )
Rate raking together:
( 1 yard ) / ( t hrs )
-----------------
+1%2F4+%2B+1%2F6+=+1%2Ft+
Multiply both sides y +12t+
+3t+%2B+2t+=+12+
+5t+=+12+
+t+=+2.4+ hrs
+.4%2A60+=+24+
Together, they can rake the yard in 2 hrs 24 min
----------------
check:
+1%2F4+%2B+1%2F6+=+1%2Ft+
+.25+%2B+.1666+=+1%2F2.4+
+.25+%2B+.16666+=+.41666+
+.41666+=+.41666+
OK