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 368342: 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 nerdybill(7384) (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?
.
Let x = time (hours) it takes for them to dig together
then
x(1/5 + 1/6) = 1
Multiplying both sides by 30:
x(6 + 5) = 30
11x = 30
x = 30/11
x = 2.73 hours
or
x = 2 hours and 44 minutes

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