Question 1032871
Beth can paint a room in 8 hours. She begins and is joined 3 hrs later by Aaron. The two of them complete the job in 2.5 more hours. How long would it take Aaron to paint the room alone? 
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Beth rate: 1/8 job/hr
In 3 hrs Beth does 3/8 of the job.
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Aaron's rate is 1/x job/hr
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2.5(1/8 + 1/x) = 5/8 job
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(1/8 + 1/x) = 1/4
(x+8)/(8x) = 1/4

x+8 = 8x
7x = 8
x = 8/7 hr = 1 hr 8 min 34 seconds (time for Aaron to do the job alone)
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Cheers,
Stan H.
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