Question : 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 simultaneously starting the race from the same point, 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)
Option 1: 7.5 minutes
Option 2: 16 minutes
Option 3: 30 minutes
Option 4: 22.5 minutes
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Correct Answer: 16 minutes
Solution :
Let the speed of Shyam be $x$ metre/minute and the speed of Ram be 3$x$ metre/minute.
Relative speed = 3$x$ – $x$ = 2$x$ metre/minute
Distance = Relative speed × Time
⇒ 1440 = 2$x$ × 8
⇒ $x$ = 90 metre/minute
Time taken by Shyam to complete the race = $\frac{1440}{90}$ = 16 minutes
Hence, the correct answer is 16 minutes.
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