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 point simultaneously, then the time taken by Shyam to finish the race is: (given that the length of the race is the same as the length of the track)
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 16 min.
The ratio of the speed of Ram and Shyam = 3 : 1
Let the speed of Ram and Shyam be 3x and x
Relative speed = 3x - x = 2x
According to the question;
⇒ 2x = 1440/(8 × 60)
⇒ x = 3/2
Time taken by Shyam = 1440 × 2/3 × 1/60 = 16 min