MathematicsThe radius of circular track is 63 m the cyclists X and Y start together from the same position at the same time and in the same direction. With speeds 33m/min and 44m/min. After how many minutes will they meet again at starting point.

The radius of circular track is 63 m the cyclists X and Y start together from the same position at the same time and in the same direction. With speeds 33m/min and 44m/min. After how many minutes will they meet again at starting point.


  1. A
      27
  2. B
      36
  3. C
      90
  4. D
      82  

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    Solution:

    We have radius (r) = 63 m
    speed of  sonu = 33 m/min
    speed  of mohit = 44 m/min
    Circumference of circular track = 2πr
    C = 2 ⋅ 22/7 ⋅ 63 = 44 ⋅ 9 = 396m
    Time taken by some to complete one round
    Time taken by mohit to complete one round
    Then the LCM of 12min and 9min will be
    12 = 2 ⋅ 2 ⋅ 3
    9 = 3 ⋅ 3
    LCM of 12 and 9 = 36
      

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