MathematicsThere is a circular path around a sports field. Soma takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?

There is a circular path around a sports field. Soma takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?


  1. A
    36
  2. B
    30
  3. C
    25
  4. D
    28 

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    Solution:

    Concept: We must determine the moment when both Soma and Ravi arrive at the starting point together in order to determine when they will cross paths. Find the LCM of the time it took each of them to discover the needed solution.
    The time of their meeting is the LCM of 18 and 12 in minutes.
    Prime factorisation of Prime factorisation of Hence, of Sonia and Ravi meet after 36 minutes.
    Hence, the correct answer is option 1.
     
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