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Riya, Anil and Rishi start running around a circular stadium and complete one round in 15s, 12s and 21s respectively. In how much time will they meet again at the starting point?
  • a)
    6min
  • b)
    7min
  • c)
    8min
  • d)
    9min
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Riya, Anil and Rishi start running around a circular stadium and compl...
LCM (15, 12, 21) = 420 second = 7 minutes
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Community Answer
Riya, Anil and Rishi start running around a circular stadium and compl...
Given data:
Time taken by Riya to complete one round = 15 seconds
Time taken by Anil to complete one round = 12 seconds
Time taken by Rishi to complete one round = 21 seconds

To find: Time taken by them to meet again at the starting point

Approach:
We need to find the LCM of the given time taken by each of them to complete one round. This is because they will meet again at the starting point after completing an integer number of rounds.

Calculation:
LCM of 15, 12 and 21 = 420 seconds

Therefore, they will meet again at the starting point after 420 seconds or 7 minutes (since 1 minute = 60 seconds).

Hence, option (b) is the correct answer.
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