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Q34 (CISF/2026) Science & Technology › Basic Science (Physics, Chemistry, Biology)

Two persons A and B are standing some distance apart along a straight line. A can run twice as fast as B. If A runs towards B and B stays at his place, they meet after 3 minutes. After how much time will they meet if they both run towards each other ?

Result
Your answer: —  Â·  Correct: C

Explanation

This problem is based on the concept of Relative Speed. Let the speed of person B be v. Since A runs twice as fast as B, the speed of A is 2v.

  • Scenario 1: A runs towards B while B is stationary. The relative speed is 2v. The time taken is 3 minutes. Therefore, the distance (D) between them is:
    D = Speed × Time = 2v × 3 = 6v.
  • Scenario 2: Both A and B run towards each other. In this case, their relative speed is the sum of their individual speeds:
    Relative Speed = Speed of A + Speed of B = 2v + v = 3v.

The time taken to meet is calculated as:
Time = Distance / Relative Speed = 6v / 3v = 2 minutes.

Thus, they will meet in 2 minutes if they both run towards each other.

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