Question : Anil and Arun started for car race from the same point in the same direction and at the same time on a circular track of length 2575 m with speeds 72 km/hr and 90 km/hr, respectively. After how much time (in seconds) will they meet again for the first time?
Option 1: 520
Option 2: 525
Option 3: 510
Option 4: 515
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Correct Answer: 515
Solution : Given that Anil and Arun are running in the same direction with the speed of 72 km/hr and 90 km/hr respectively. Length of circular track = 2575 m Relative Speed of Anil and Arun = 90 – 72 = 18 km/h = 18$\times\frac{5}{18} = 5$ m/s ⇒ Time taken by them to meet for the first time on the track while running in the same direction = $\frac{\text{Length of track}}{\text{Relative speed in same direction}}$ ⇒ $\frac{2575}{5}$ = 515 seconds Hence, the correct answer is 515.
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