Multiple choice

Directions: The following problem consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and give answer: (1) If the data in statement I alone is sufficient to answer the question (2) If the data in statement II alone is sufficient to answer the question (3) If the data in either statement I alone or statement II alone is sufficient to answer the question (4) If the data in statements I and II together is not sufficient to answer the question Two trains start from stations A and B and travel towards each other at the speeds of 50 km/hr and 60 km/hr, respectively. What is the distance between A and B? I. When they meet, the second train has travelled 120 km more than the first. II. They meet after 12 hours.

  1. (1)

  2. (2)

  3. (3)

  4. (4)
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Relative speed is 50 + 60 = 110 km/hr. Statement I: Second train travels 120 km more than the first. In time t, 60t - 50t = 120, so 10t = 120, t = 12 hours. Distance = 110 * 12 = 1320 km. Statement II: They meet after 12 hours. Distance = 110 * 12 = 1320 km. Both statements independently give the answer.

AI explanation

The relative speed of the two trains is 50 plus 60 equals 110 km/hr. Using statement I, the difference in distances covered when they meet is 120 km, which corresponds to the second train travelling for 120 divided by 10 equals 12 hours, allowing us to find the total distance. Using statement II, since they meet after 12 hours, the total distance is 110 multiplied by 12 equals 1320 km. Thus, the data in either statement I alone or statement II alone is sufficient to answer the question.

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