The following GMAT data sufficiency question tests your understanding of applying distance, rate, and time relationships to problems tested on the GMAT.
Trains $A$ and $B$ left stations $R$ and $S$ simultaneously on two separate parallel rail tracks that are $350$ miles long. The trains passed each other at point $X$ after traveling for a certain amount of time. How many miles of the rail tracks had train $A$ traveled when the two trains passed each other?
- (1) Up to point $X$, the average speed of train $B$ was $25\%$ less than the average speed of train $B$.
- (2) Up to point $X$, the average speed of train $B$ was $60$ mph and it took two and a half hours for train $B$ to arrive at point $X$.
- Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- EACH statement ALONE is sufficient.
- Statements (1) and (2) TOGETHER are NOT sufficient.
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