SOLUTION: Felicia can sort a paper in 5 hrs and together Tarance can sort it in 2 hrs so what extent would it take Tarance to sort the same paper alone? Doing Rational Equations but confuse

Question 981632: Felicia can sort a paper in 5 hrs and together Tarance can sort it in 2 hrs so what extent would it take Tarance to sort the same paper alone? Doing Rational Equations but confuse on how to start this one.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Felicia can sort a paper in 5 hrs and together Tarance can sort it in 2 hrs so what extent would it take Tarance to sort the same paper alone? Doing Rational Equations but confuse on how to start this one.
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Relicia DATA:
time = 5 hrs/job ; rate = 1/5 job/hr
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Terance DATA:
time = 2 hrs/job ; rate = 1/2 job/hr
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Together DATA:
time = 2 hrs/job ; rate = 1/x job/hr
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Equation:
rate + rate = together rate
1/5 + 1/2 = 1/x
------
2x + 5x = 10
7x = 10
----
x = 10/7 hrs = 1.4286 hours = 1hr 25min 42sec (time to do the job together)
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Cheers,
Stan H.
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