Varun and Sandeep started for a car race from the same point, in the same…
2024
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 s) will they meet again for the first time?
- A.
324
- B.
325
- C.
327
- D.
328
Attempted by 2 students.
Show answer & explanation
Correct answer: C
Convert Speeds from km/h to m/s:
Varun's speed = 90 * (5/18) = 25 m/s.
Sandeep's speed = 108 * (5/18) = 30 m/s.
Calculate Relative Speed:
Since they are moving in the same direction, the relative speed is the difference between their speeds: 30 m/s - 25 m/s = 5 m/s.
Determine Time to Meet:
They meet when the faster runner gains one full lap (1635 m) on the slower runner.
Using the formula: Time = Distance / Relative Speed.
Time = 1635 / 5 = 327 seconds.