Varun and Sandeep started for a car race from the same point, in the same direction and at the same time on a circular track of length 1635 m with the speeds of 90 km/h and 108 km/h, respectively. After how much time (in seconds) will they meet again for the first time?

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Let us first convert the speeds from km/h to m/s:

Varun's speed = 90 km/h = (90 × 1000) / 3600 = 25 m/s
Sandeep's speed = 108 km/h = (108 × 1000) / 3600 = 30 m/s

Since both are moving in the same direction, their relative speed = 30 m/s - 25 m/s = 5 m/s

They will meet again for the first time when the faster one (Sandeep) gains one complete lap over the slower one (Varun), i.e., covers 1635 m more than Varun.

Time taken = Distance to be gained / Relative speed = 1635 m / 5 m/s = 327 seconds

Therefore, they will meet again for the first time after 327 seconds.

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