SOLUTION: It takes the owner/operator of a dog kennel 4 hours to clean all of the cages. It takes his assistant 2 hour(s) more than that to clean the same cages. How long will it take if the

Algebra ->  Rate-of-work-word-problems -> SOLUTION: It takes the owner/operator of a dog kennel 4 hours to clean all of the cages. It takes his assistant 2 hour(s) more than that to clean the same cages. How long will it take if the      Log On


   

Question 767849: It takes the owner/operator of a dog kennel 4 hours to clean all of the cages. It takes his assistant 2 hour(s) more than that to clean the same cages. How long will it take if they work together?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
It takes the owner/operator of a dog kennel 4 hours to clean all of the cages. It takes his assistant 2 hour(s) more than that to clean the same cages. How long will it take if they work together?
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1/4=work rate of owner
1/6=work rate of assistant
x=time it will take with both owner and assistant working together
1/x=work rate both working together
sum of individual work rates=work rate working together
1%2F4%2B1%2F6=1%2Fx
3%2F12%2B2%2F12=1%2Fx
5/12=1/x
x=12/5=2.4
time it will take with both owner and assistant working together=2.4 hrs