Question

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 80% of those now using public transportation will commute via automobile and 20% 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.)

Answer 1

According to given statement , Out of every100 people, 20 people use public transport and 80 use cars.

And out of the 80 people, that use cars, 30% of these will switch to public transportation.so, the public transportation system will increase by = 80×30/100= 80 * .30 = 24 people out of every 100

However, it will also lose 80% of its current ridership to cars = 20 X .80 = 16 people out of every 100

Hence , the percentage of people using public transportation in the long run will be

[20 + 24 - 16] / 100 = 28%

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