Lesson In a 2-mile race competition

In a 2-mile race competition

Problem 1

Let    be the Ed's rate, in miles per hour;

       be the Faith's rate,  and

       be the Matt rate.


Since in a two-mile race, Ed can beat Faith by  = 0.2 of a mile, it means that the ratio of their rates is   =  = .


    It is totally clear: in that time as Ed will complete the 2 miles race, Faith will cover only 2-0.2 = 1.8 miles.



Next, since in a two-mile race, Faith can beat Math by  = 0.1 of a mile, it means that the ratio of their rates is   =  = .


It implies that the ratio of the rates   =  =  =  =  = .


It means that in the 2 miles race Ed can beat Matt by  2 - 1.71 = 0.29 miles.    ANSWER