MathematicsA circular track around a sports ground has circumference of 1080 m  . Two cyclists Paurush and Shreyan start together and cycled at constant speeds of 6 m/s   and 9 m/s   respectively around the circular track. After how many minutes will they meet again at the starting point?

A circular track around a sports ground has circumference of 1080 m  . Two cyclists Paurush and Shreyan start together and cycled at constant speeds of 6 m/s   and 9 m/s   respectively around the circular track. After how many minutes will they meet again at the starting point?


  1. A
    3
  2. B
    6
  3. C
    7
  4. D
    9 

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    Solution:

    Given that, the circumference of circular track=1080m.
    Speed of Paurush= 6 m/s.
    Speed of Shreyan= 9 m/s.
    We'll now figure out how long it takes Paurush and Shreyan to complete one lap of the track.
    We need to determine the LCM of 180 and 120 in order to determine the requisite time taken,
    ⇒180=2×2×3×3×5= 2 2 × 3 2 ×5 ⇒120=2×2×2×3×5= 2 3 ×3×5   LCM 180,120 = 2 3 × 3 2 ×5 ⇒8×9×5 ⇒360   Now, calculate the time,
    As a result, Paurush and Shreyan will meet at the starting spot after 6 minutes.
    Therefore, option 2 is correct.
     

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