This is tricky, and you're on the right track (but with a mistake at the end ). You're totally right about everything you said as to why St. 1 is insufficient alone, and about the fact that St. 2 alone doesn't tell us anything about John's average speed, such that it too is insufficient.

But now let's combine. One important thing is that St. 2 gives us part of the information we were missing from St. 1 -- we now know that Jane's average speed for the WHOLE trip was 60mph, AND we know that it was 60mph for the first 300 miles, so in order to stay at an average of 60mph overall, she MUST have also averaged 60mph for the last 200 miles. So that means that that last 200 miles took here 3-and-one-third hours. Now. Here comes important fact #2, which is this "never broke the speed limit of 70mph" bit. At the time when John and Jane crossed paths, John had 300 miles to go. If he never exceeded 70mph, the SHORTEST possible time that 300 miles could have taken him (i.e. if he drove AT 70mph) would still be over 4 hours (300/7). So he can't possibly have finished by the time Jane finished 3-and-one-third hours after they crossed paths. So there's our definitive answer to the question, from the combination of Sts. 1 and 2.

diebeatsthegmat wrote:

I received a PM asking me to comment.
I agree with Ashley.

Statements 1 and 2 combined:
Jane:
Total time = 500/60 = less than 9 hours.

John:
Minimum time for remaining 300 miles = 300/70 = over 4 hours.
Since it took John 5 hours to meet Jane, his minimum total time is over 9 hours.

Thus, Jane arrived earlier than John did.
Sufficient.

The correct answer is C.

Thanks a lot, Mitch. It makes sense to me now