Problema Solution
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 will they have all of the crime cleaned up in the town? Round your answer to the nearest
minute.
Answer provided by our tutors
working together they could clean up the town in:
1/x = 1/8 + 1/12
x = 4.8
2 hours of Tonto's time means he is finished with what percentage of his work if alone:
(1/12)/(1/10) = 0.833
2 hours of Tonto's time represents how much of the Lone Ranger's time:
2 * (1/12)(1/8) = 1.333
1.333 hours represents what percentage of the Lone Ranger's time if working alone:
(1/8)/(1/(8-1.333)) = 0.833
1/x = (1/8 + 1/12)/0.833
x = 3.998
it would take them approximately 4 more hours