SOLUTION: Maria, an experienced shipping clerk, can fill a certain order in 13 hours. Felipe, a new clerk, needs 16 hours to do the same job. Working together, how long will it take them to

Question 929716: Maria, an experienced shipping clerk, can fill a certain order in 13 hours. Felipe, a new clerk, needs 16 hours to do the same job. Working together, how long will it take them to fill the order?
Answer= _____ hours
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
): Maria, an experienced shipping clerk, can fill a certain order in 13 hours. Felipe, a new clerk, needs 16 hours to do the same job. Working together, how long will it take them to fill the order?
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Maria rate = 1/13 job/hr
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Felipe rate = 1/16 job/hr
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Together rate = 1/x job/hr
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Equation:
rate + rate = Together rate
1/13 + 1/16 = 1/x
----
16x + 13x = 13*16
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29x = 13*16
x = 7.17 hrs = 7 hr 10 min 12 seconds (time to do the job together)
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Cheers,
Stan H.
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