The basic equation necessary for solving this problem is:
Distance = Rate*Time
D = RT
If Officer Johnson can prove that R, the driver’s average rate or speed, exceeded 50 miles-per-hour, Officer Johnson can prove that the driver broke the speed limit. We must be able to find R in order to definitively answer the question of whether Officer Johnson’s assertion is correct.
Statement 1:
Statement (1) says that D = 30 miles. Without information about T or R, we cannot find the value of R and, as a result, we cannot prove or disprove Officer Johnson's claim. So, Statement (1) alone is NOT SUFFICIENT.
Statement 2:
Statement (2) says that T = 30 minutes. Without information about D or R, we cannot find the value of R and, as a result, we cannot prove or disprove Officer Johnson's claim. So, Statement (2) alone is NOT SUFFICIENT.
Combining Statement 1 & 2:
From Statement 1: D = 30 miles
From Statement 2: T = 30 minutes
Putting the information together, we can construct the following algebraic equation:
D = RT
30mil = R(30min)
R = 1mil/1min = one mile per minute
R = One mile per minute * 60 minutes per hour = 60 miles per hour.
Since we have a value for R, we can definitively judge the veracity of Office Johnson's claim.
Statements (1) and (2), when taken together, are SUFFICIENT.
So, the answer is C