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We have two motorcyclists cycling in opposite directions at speeds of 33 m/s and 44 m/s respectively on a circular track of radius 105 m, starting from the same point. What is the time taken by the motorcyclists to meet for the fifth time at the starting point?
  • a)
    2 minutes
  • b)
    3 minutes
  • c)
    4 minutes
  • d)
    5 minutes 
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
We have two motorcyclists cycling in opposite directions at speeds of ...
Circumference of the track = Distance that has to be travelled by both the motorcycles to complete one round = 2 x 22/7 x 105 = 660 m.
Time taken by the first motorcycle to complete one round = 660/33 = 20 seconds
Time taken by the second motorcycle to complete one round = 660/44 = 15 seconds
∴ The two motorcycles meet for the first time at the starting point at LCM (15, 20) = 60 seconds
So, they meet for the fifth time at 60 x 5 = 300 seconds = 5 minutes.
Hence, option 4.
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We have two motorcyclists cycling in opposite directions at speeds of ...
Circumference of the track = Distance that has to be travelled by both the motorcycles to complete one round = 2 x 22/7 x 105 = 660 m.
Time taken by the first motorcycle to complete one round = 660/33 = 20 seconds
Time taken by the second motorcycle to complete one round = 660/44 = 15 seconds
∴ The two motorcycles meet for the first time at the starting point at LCM (15, 20) = 60 seconds
So, they meet for the fifth time at 60 x 5 = 300 seconds = 5 minutes.
Hence, option 4.
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We have two motorcyclists cycling in opposite directions at speeds of 33 m/s and 44 m/s respectively on a circular track of radius 105 m, starting from the same point. What is the time taken by the motorcyclists to meet for the fifth time at the starting point?a)2 minutesb)3 minutesc)4 minutesd)5 minutesCorrect answer is option 'D'. Can you explain this answer?
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