Multiple choice

Directions: The problem contains a question and two statements giving certain data. You have to select the correct answer from the given options depending on the sufficiency of the data given in the statements to answer the question. Two trains T1 and T2 start respectively from P and Q towards each other simultaneously and meet at 11:30 a.m. What is the distance PQ, if Train T2 travels at a speed of 60 km/hr? (A) Train T1 leaves for Q at 9.30 a.m. at a speed of 40 km/hr. (B) The relative speed of the trains is 100 km/hr.

  1. Statement (A) alone is sufficient to answer the question and statement (B) alone is not sufficient to answer the question.

  2. Statement (B) alone is sufficient to answer the question and statement (A) alone is not sufficient to answer the question.

  3. Statements (A) and (B) together are sufficient to answer the question, but neither statement alone is sufficient.

  4. Each statement alone is sufficient to answer the question.

  5. Both statements (A) and (B) together are not sufficient to answer the question and additional data specific to the problem is needed.
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A Correct answer
AI explanation

To find the distance PQ, we need the time the trains traveled before meeting and their relative speed, since distance equals relative speed multiplied by time. Statement A gives the departure time of T1 as 9:30 a.m., so it traveled for 2 hours until the 11:30 a.m. meeting at a speed of 40 km/hr; because T2's speed is given as 60 km/hr, its relative speed with T1 is 100 km/hr, allowing us to calculate the distance. Statement B only provides the relative speed of 100 km/hr but provides no departure times, so we cannot find the travel time before the meeting. Statement A alone is sufficient, but statement B alone is not sufficient.

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