<PRE><B>Question 886679</B>
Julia can clean an attic in 10.2 hours. Rob can clean the same attic in 14.6 hours. How long would it take for the two of them if the worked together? 
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Julia rate: 1/10.2 job/hr
Rob rate: 1/14.6 job/hr
Together rate: 1/x job/hr
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Equation:
rate + rate = together rate
1/10.2 + 1/14.6 = 1/x
14.6x + 10.2x = 10.2*14.6
24.8x = 10.2*14.6
x = 6 hrs (time to do the job together)
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Cheers,
Stan H.
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