A train travels from Town P to Town Q. What is the distance between Town P and Town Q?
A
(1) The train travels from Town P to Town Q at an average speed of 60 mph.
B
(2) The train takes 3 hours longer to travel from Town Q to Town P at an average speed of 45 mph than it takes to travel from P to Q at 60 mph.
C
Both (1) and (2) together are sufficient, but neither statement alone is sufficient.
D
Statements (1) and (2) together are not sufficient.
✓ Correct Answer: Option B
Statement (1) gives speed but no time, so distance cannot be determined. Statement (2) provides a relationship between times and speeds for the same distance (D). Let t_PQ = D/60 and t_QP = D/45. Then D/45 = D/60 + 3. This equation can be solved for D, making (2) sufficient.
💡 Why is B) the correct answer?
The correct answer to the question "A train travels from Town P to Town Q. What is the distance between Town P and Town Q?" is Option B: (2) The train takes 3 hours longer to travel from Town Q to Town P at an average speed of 45 mph than it takes to travel from P to Q at 60 mph..
The other options — A) (1) The train travels from Town P to Town Q at an average speed of 60 mph., C) Both (1) and (2) together are sufficient, but neither statement alone is sufficient., D) Statements (1) and (2) together are not sufficient. — are incorrect for this GMAT Exam Prep question. As explained above: Statement (1) gives speed but no time, so distance cannot be determined. Statement (2) provides a relationship between times and speeds for the same distance (D). Let t_PQ = D/60 and t_QP = D/45. The…
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