SOLUTION: A towns old street sweeper can clean the streets in 60 hrs. Working together with a new sweeper they can do the job in 15 hrs. How long would it take the new sweeper to do the job

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Question 1065360: A towns old street sweeper can clean the streets in 60 hrs. Working together with a new sweeper they can do the job in 15 hrs. How long would it take the new sweeper to do the job working alone?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Old sweeper's rate:
[ 1 job ] / [ 60 hrs ]
New sweeper's rate:
[ 1 job ] / [ t hrs ]
Their rate working together:
[ 1 job ] / [ 15 hrs ]
---------------------------
Add their rates of working to get
their rate working together

Multiply both sides by



-------------
The new sweeper does the job in 20 hrs
working alone
--------------------
check:

Multiply both sides by


OK

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