SOLUTION: it takes mary 3 hours more to do a job than it takes jane. if they work together,they can finish the same job in 2 hours. how long would it take mary to finish the job alone?
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Question 983856: it takes mary 3 hours more to do a job than it takes jane. if they work together,they can finish the same job in 2 hours. how long would it take mary to finish the job alone?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Add their rates of working to get
their rate working together
------------------------
Let = Jane's rate of working
expressed as [ 1 job ] / [ t hrs ]
---------------------------
Mary's rate is:
= { 1 job ] / [ t + 3 hrs ]
-----------------------------------
Their rate working together is:
= [ 1 job ] / [ 2 hrs ]
---------------------------
Multiply both sides by
By looking at this, I see the solution is:
Time can't be negative, so the solution is:
hrs
and
hrs
It takes Mary 6 hrs to finish the job alone
------------------
check answer:
OK
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