Stephanie, Regine, and Brian ran a 20 mile race. Stephanie and Regine's combined times exceeded Brian's time by exactly 2 hours. If nobody ran faster than 8 miles per hour, who could have won the race?
I. Stephanie II. Regine III. Brian
(A) I only
(B) II only
(C) III only
(D) I or II only
(E) I, II, or III
We are given that \(S+R = B+2\) (where S, R and B represent Stephanie, Regine, and Brian respectively)
Also, minimum value of S,R and B is 20/8 = 2.5
Clearly if S and R are at minimum value of 2.5, B has to be a minimum of 3 and hence has to be slower than S and/or R. For all value of S and R greater than 2.5, B will be slower than at least one of S or R and hence B cant win the race. Between S and R there is nothing to distinguish as they are interchangeable in the given equation, so any of them can win the race.