SOLUTION: jake can complete a job in 5 hours while jerry can complete the same job in 3 hours. how long would it take to complete the job if jake starts the job two hours before jerry joins

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Question 695258: jake can complete a job in 5 hours while jerry can complete the same job in 3 hours. how long would it take to complete the job if jake starts the job two hours before jerry joins him
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
jake can complete a job in 5 hours while jerry can complete the same job in 3 hours. how long would it take to complete the job if jake starts the job two hours before jerry joins him
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Jake's rate: 1/5 job/hr
Jake's work time: x hrs
----------------------------
Jerry's rate: 1/3 job/hr
Jerry's work time: x-2 hrs
--------
Equation:
work + work = 1 job
----
x(1/5) + (x-2)(1/3) = 1
Multiply thru by 15 to get
3x + 5(x-2) = 15
8x - 10 = 15
8x = 25
x = 3 1/25 hr = 3 hr 2.4 minutes
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Cheers,
Stan H.

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