Multiple choice

Directions: The question given below is followed by two statements I and II. You are to determine whether the data given in the statements is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. If Akshar and Arun left from Ludhiana at the same time, then what is the distance between Ludhiana and Delhi? I. Arun was travelling at an average speed of 60 kmph and reached Delhi at 6.00 p.m. II. Akshar reached Delhi at 8.00 p.m. and was travelling at an average speed of 40 kmph.

  1. The question can be answered by using statement I alone but cannot be answered by using statement II alone.

  2. The question can be answered by using statement II alone but cannot be answered by using statement I alone.

  3. Both statements I and II together are required to answer the question.

  4. The answer can be found by using any of the two statements alone.

  5. Both the statements together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

Statement I alone gives Arun's speed and arrival time but lacks a starting time or total time, making it insufficient. Statement II alone gives Akshar's speed and arrival time, also lacking a starting time or total time. When combined, the difference in their arrival times is 8.00 p.m. minus 6.00 p.m. equals 2 hours. Using the relative speed method, their relative speed is 60 minus 40 equals 20 kmph. The distance between Ludhiana and Delhi is 20 kmph multiplied by the 2-hour head start Arun had, which equals 40 km. Therefore, both statements together are required.

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