Multiple choice

Three persons Pankaj, Rajaram and Ramkrishna run around a circular track of length 2 km, with respective speeds of 20, 40 and 50 km/hr. If they start from the same point and at the same time in the same direction, when will they meet again at the starting point?

  1. After 12 minutes

  2. After 14 minutes

  3. After 16 minutes

  4. After 10 minutes

  5. After 15 minutes

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A Correct answer
AI explanation

To find when they meet at the starting point, we calculate the time taken by each runner to complete one full lap using the formula time equals distance divided by speed. The times for Pankaj, Rajaram and Ramkrishna to complete the 2 km track are 0.1 hours, 0.05 hours, and 0.04 hours respectively. The least common multiple of these times is 0.2 hours, which converts to 12 minutes, so they will meet at the starting point after 12 minutes.