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 288348: 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
Found 2 solutions by richwmiller, nerdybill:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
x/5+x/6=1
6x+5x=30
11x=30
x=30/11
x=2 8/30 =2 8/30 hours
8/30 hr=16 minutes
2 hours 16 minutes
check
30/11*1/5+30/11*1/6=1
6/11+5/11=1
ok
Naturally Ryan does a little more of the work.

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
.
Rates:
Ryan: 1 hole per 5 hours
Castel: 1 hole per 6 hours
.
Let x = time if working together
then
x(1/5 + 1/6) = 1
x(6 + 5) = 30
11x = 30
x = 30/11
x = 2.7273 hours
or
x = 2 hours and 44 minutes

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