Question 972950
suppose that the Lone Ranger can clean up all of the crime in the town of Fort Smith in 8 hours when working alone. Tonto can do the same job working alone in 12 hours. if Tonto starts fighting crime at 9am. and the Lone Ranger joins him at 11am. at what time they have all of the crime cleaned up in the town? Round your answer to the nearest minute.
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let x=Amt of time Lone Ranger and Tonto have all of the crime cleaned up in the town.
1/8= Lone Ranger's work rate
1/12=Tonto's work rate
..
(x-2)/8+x/12=100%
lcd:24
3(x-2)+2x=24
3x-6+2x=24
5x=30
x=6 hrs
At what time they have all of the crime cleaned up in the town? 3 pm