SOLUTION: working alone ryan can dig a 10 ft by 10 ft hole in five hours. castel can dig the same hole in six hours. how long would it take them if they worked together?

Question 382295: working alone ryan can dig a 10 ft by 10 ft hole in five hours. castel can dig the same hole in six hours. how long would it take them if they worked together?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
working alone ryan can dig a 10 ft by 10 ft hole in five hours. castel can dig the same hole in six hours. how long would it take them if they worked together?
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Ryan rate = 1/5 job/hr
Castel rate = 1/6 job/hr
Together rate = 1/x job/hr
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Equation:
1/5 + 1/6 = 1/x
6x + 5x = 30
11x = 30
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x = 2 8/11 hr = 2 hr (8/11)60 = 2hr 47 minutes (time to do the job together)
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Cheers,
Stan H.
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