Within a large metropolitan area, 20% of the commuters currently use the public transportation system, whereas the remaining 80% commute via automobile. The city has recently revitalized and expanded its public transportation system. It is expected that 6 months from now 30% of those who are now commuting to work via automobile will switch to public transportation, and 70% will continue to commute via automobile. At the same time, it is expected that 10% of those now using public transportation will commute via automobile and 90% will continue to use public transportation. In the long run, what percentage of the commuters will be using public transportation? (Round your answer to the nearest percent.)
+130540 Out of every100 people, 20 now use public transport and 80 use cars.....
And of the 80 that use cars, 30% of these will switch to public transportation....thus.....the public transportation system will increase by 80 * .30 = 24 people out of every 100
However, it will also lose 10% of its current ridership to cars = 20 X .10 = 2 people out of every 100
So, the percentage of people using public transportation in the long run will be
[20 + 24 - 2] / 100 = 42%
