Multiple choice

The question is followed by two statements, I and II. Mark the answer as per the given conditions. [CAT 1997] After what time will the two persons Tez and Gati meet while moving around the circular track? Both of them start at the same point and at the same time. I. Tez moves at a constant speed of 5 m/s, while Gati starts at a speed of 2 m/s and increases his speed by 0.5 m/s at the end of every second thereafter. II. Gati can complete one entire lap in exactly 10 s.

  1. statement I alone is required to answer the question, but not statement II.

  2. statement II alone is required to answer the question, but not statement I.

  3. both statements I and II together are needed to answer the question.

  4. cannot be answered even with the help of both the statements together.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To find the meeting time, we need the length of the track. Statement I gives speeds, but not the track length. Statement II gives Gati's lap time, but not the track length. Even together, we cannot determine the track length, so we cannot solve for the meeting time.

AI explanation

To find when Tez and Gati meet on the circular track, the length of the track is essential. Statement I provides their speed profiles and statement II provides Gati's lap time, allowing us to calculate the track length as 20 meters. However, because they start at the same point and move in an unspecified direction, we cannot determine if they are moving towards each other or in the same direction. The question cannot be answered even with both statements.

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