This is a “Value” DS question. The Value we are looking for is the time it took Bob to finish. Let’s look at the specific wording:
How long did it take Bob to complete the race?
(1) If Bob were 2/3 faster, his time would have been 3 hours.
(2) Bob’s average speed was 30 miles per hour.
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Given information: We know that Distance = Rate x Time, so if we knew Distance/Rate, then we could find the Time. We could think of this question as asking, what is the ratio between Bob’s Distance and Bob’s Rate?
Need: Distance/Rate
Statement (1):
We know D = R x T.
This says that (5/3)D = R x 3.
Let’s simplify:
(5/3)D = 3R
5D = 9R
D/R = 9/5
Sufficient! We found the ratio we were looking for!
Statement (2):
Average Speed = Total Distance / Total Time
30 = D/T
Unfortunately, we cannot find T. This is insufficient.
The answer is (A).