Bunuel
Joe and Bill drove separate cars along the entire length of a certain route. If Joe made the trip in 12 minutes, how many minutes did it take Bill to make the same trip?
(1) Bill averages 34 miles per hour.
(2) The route is 14 miles long.
Solution: Pre Analysis:- Joe and Bill drove separate cars. This means the speeds of joe and billy are different. Let us assume it to be \(S_j\) and \(S_b\) respectively
- The discount covered is the same. So, let the distance be \(D\) for both
- Joe takes 12mins to complete the trip. So, we can say \(12=\frac{D}{S_j}\)
- We are asked the time Bill will take to complete the trip or we are asked the value of \(\frac{D}{S_b}\) or \(12\frac{S_j}{S_b}\)
Statement 1: Bill averages 34 miles per hour
- According to this statement, \(S_b=34\) which is not enough to get the value of \(\frac{D}{34}\) or \(12\frac{S_j}{34}\) without the value of \(D\) or \(S_j\)
- Thus, statement 1 alone is not sufficient and we can eliminate options A and D
Statement 2: The route is 14 miles long
- According to this statement, \(D=14\) which is not enough to get the value of \(\frac{14}{S_b}\) or \(12\frac{S_j}{S_b}\) without the value of at least \(S_b\)
Combining: - Upon combining, we get \(S_b=34\) and \(D=14\) which is enough to get the value of \(\frac{D}{S_b}\)
Hence the right answer is
Option C