In the Boston Marathon each April there are approximately 100 male runners who participate and who are considered as world class runners. It is known that the time they require to finish the 26.2 mile...

In the Boston Marathon each April there are approximately 100 male runners who participate and who are considered as world class runners. It is known that the time they require to finish the 26.2 mile race is normally distributed with a mean of 135.45 minutes and a standard deviation of 2.30 minutes. If the fastest 2.5% of the world class runners are considered elite runners, what is the approximate slowest time that the elite runners would run the Boston Marathon?