SOLUTION: Marlo dug a ditch in one hour and his daughter, Maeryll, can dig the same size ditch in two hours. Working together, how long will it take them to dig the ditch?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Marlo dug a ditch in one hour and his daughter, Maeryll, can dig the same size ditch in two hours. Working together, how long will it take them to dig the ditch?       Log On


   



Question 1150037: Marlo dug a ditch in one hour and his
daughter, Maeryll, can dig the same size ditch in two hours. Working together, how
long will it take them to dig the ditch?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
in a minute Marlo can dig 1/60th of a ditch and Maeryll can dig 1/120 th of a ditch.
in x minutes they dig the whole thing
(x/60)+(x/120)=1
mutliply by 120 both sides
2x+x=120
x=40 minutes or 2/3 of an hour.