Within a large metropolitian area, 20% of the commuters currently use the public transportation system, whereas the remaining 80% commute via automobile. The city recently revitalized and expanded its public transportation system. It is expected that 6 months from now, 20% of those who are now commuting to work via autombile will switch to public transportaion, and 80% will continue to commute via automobile. At the same time, it is expected that 70% of those now using public transportation will commute via automobile, and 30% will continue to use public transportation. In the long run, what percentage of commuters will be using public transportation?

Question

Within a large metropolitian area, 20% of the commuters currently use the public transportation system, whereas the remaining 80% commute via automobile. The city recently revitalized and expanded its public transportation system. It is expected that 6 months from now, 20% of those who are now commuting to work via autombile will switch to public transportaion, and 80% will continue to commute via automobile. At the same time, it is expected that 70% of those now using public transportation will commute via automobile, and 30% will continue to use public transportation. In the long run, what percentage of commuters will be using public transportation? ​

Quizplus · Accepted Answer

In the long run, 22% of commuters will be using public transportation. This is because 20% of the current automobile commuters will switch to public transportation, and 30% of the current public transportation commuters will continue to use public transportation. This means that 20% + 30% = 50% of the total commuters will be using public transportation in the long run.

Within a Large Metropolitian Area, 20% of the Commuters Currently