Ram and Shyam are racing along a circular track. The speed of Ram is thrice…
2023
Ram and Shyam are racing along a circular track. The speed of Ram is thrice the speed of Shyam. The length of the circular track is 1440 m. After the start of the race from the same point simultaneously, Ram meets Shyam for the first time at the end of the 8th minute. If Ram and Shyam start the race again from the same starting points simultaneously, then the time taken by Shyam to finish the race is: (given that the length of the race is same as the length of the track)
- A.
7.5 min
- B.
16 min
- C.
30 min
- D.
22.5 min
Attempted by 3 students.
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Correct answer: B
Let Shyam's speed be S m/min and Ram's speed be 3S. They first meet after Ram gains one full lap, so (3S - S) x 8 = 1440. Thus S = 90 m/min and Shyam takes 1440/90 = 16 minutes.