SOLUTION: (7.7 #15) Can someone please help me with this? It takes the owner/operator of a dog kennel 7 hours to clean all of the cages. It takes his assistant 4 hour(s) more than that

Question 230944: (7.7 #15)
Can someone please help me with this?
It takes the owner/operator of a dog kennel 7 hours to clean all of the cages. It takes his assistant 4 hour(s) more than that to clean the same cages. How long will it take if they work together?
Thank you,
Daniel
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
What you need to do is to add together
their rates of working to get their rate
working together
In words:
Owner's rate = (all the cages)/(7 hours)
Assistant's rate = (all the cages)/(11 hours)
Let = their time working together
Call all the cages cleaned 1 job, so

Multiply both sides by

hrs
It takes them 4 hrs 16 min and 40 sec working together
check:

close enough

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