Question 634921: Most railroad cars are owned by individual railroad companies. When a car leaves its home railroad's trackage , it becomes part of a national pool of cars and can be used by other railroads. the rules governing the use of these pooled cars are designed to eventually return the care to the home trackage. A particular railroad found that each month 68% of its boxcars on the home trackage left to join the national pool and 35% of its boxcars in the national pool were returned to the hope trackage. If these percentages remain valid for a long period of time, what percentage of its boxcars can this railroad expect ot have on its home trackage in the long run?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Most railroad cars are owned by individual railroad companies.
When a car leaves its home railroad's trackage, it becomes part of a
national pool of cars and can be used by other railroads.
the rules governing the use of these pooled cars are designed to eventually
return the car to the home trackage.
A particular railroad found that each month 68% of its boxcars on the home
trackage left to join the national pool and 35% of its boxcars in the
national pool were returned to the home trackage.
If these percentages remain valid for a long period of time, what percentage
of its boxcars can this railroad expect to have on its home trackage in the long run?
:
let the total number of cars owned by the railroad = 100
In one month if 68 cars depart, and 32 remain, then
.35 * 68 ~ 24 cars are returned. 32 + 24 = 56 cars are home or
56% of the cars are home after 1 month
After 1 yr .56^12 ~ .1% in the long run
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