High School

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 to dig the hole if they worked together?

Answer :

Ryan rate = 1/5 job/hr
Castel rate = 1/6 job/hr
Together rate = 1/x job/hr

Equation:

1/5 + 1/6 = 1/x
6x + 5x = 30
11x = 30

x = 2 8/11 hr = 2 hr (8/11)60 = 2hr 47 minutes (time to do the job together)

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