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

Solution :-

Let's assume the total number of people to be 100

Then No. of people using public transport = 20% of 100 = 20

No. of people using automobile = 80% of 100 = 80

after 6 months

30% of those using automobile will switch to public transport and 30% of those using public transport will switch to automobile

So No of people using public transport will be = 80% of 80 + 20 % of 20 = 68

Similarly,

No of people using automobile transport shall be = 20% of 80 + 80 % of 20 = 32

So 68 % commuters will use public transport and 32% will use automobile transport in the long run.