SOLUTION: Larry and Curly are trying to fill a sandbox with sand. Working alone, Larry can fill the empty sandbox in 4 hours, and Curly can do the same job in 5 hours. Moe is trying to empty

Question 725816: Larry and Curly are trying to fill a sandbox with sand. Working alone, Larry can fill the empty sandbox in 4 hours, and Curly can do the same job in 5 hours. Moe is trying to empty the sandbox and ,working alone, can empty it in 6 hours. If the sandbox is half-full at the time Curly and Larry begin filling it and Moe begins emptying it, How many minutes will it take for the sandbox to be filled? Round your answer to the nearest minute.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
x/4+x/5=1/2
x=10/9=1.111 hours to fill the last half with out Moe
1/9*60=20/3=about 7 minutes 1 hour and 7 minutes without Moe
x/4+x/5-x/6=1/2
x=30/17=1.7647 hours about 1 hour 46 minutes with Moe
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