SOLUTION: Jim and Susie both work for a landscaping company. Jim can finish a planting job in 4hours, while it takes Susie 3 hours to finish the same job. if Jim and Susie will work together

Algebra ->  Finance -> SOLUTION: Jim and Susie both work for a landscaping company. Jim can finish a planting job in 4hours, while it takes Susie 3 hours to finish the same job. if Jim and Susie will work together      Log On


   



Question 1099582: Jim and Susie both work for a landscaping company. Jim can finish a planting job in 4hours, while it takes Susie 3 hours to finish the same job. if Jim and Susie will work together on the job, and the cost of labor is $55 per hour, what should the labor estimate be?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Jim's rate of working is:
[ 1 job ] / [ 4 hrs ]
Susie's rate of working is:
[ 1 job ] / [ 3 hrs ]
Let +t+ = time in hrs for them
to do the job working together.
Add their rates of working to get
their rate working together
-------------------------
+1%2F4+%2B+1%2F3+=+1%2Ft+
Multiply both sides by +12t+
+3t+%2B+4t+=+12+
+7t+=+12+
+t+=+12%2F7+
--------------------
[ hrs ] x [ dollars/hr ] = [ estimate in dollars ]
+%2812%2F7+%29%2A55+=+94.29+
$94.29 for labor