A car starts from point P on a circular track and an SUV starts from point Q,…

2025

A car starts from point P on a circular track and an SUV starts from point Q, which is 600 meters ahead of P
in the direction of motion. The car's speed is 15 m/s, and the SUV's speed is 10 m/s. The circumference of the
track is 1.5 km. How much distance will the car have traveled when it first overtakes the SUV?

  1. A.

    900 m

  2. B.

    1200 m

  3. C.

    1500 m

  4. D.

    1800 m

Attempted by 12 students.

Show answer & explanation

Correct answer: D

The car gains on the SUV at 15 - 10 = 5 m/s. To cover the 600 m gap it needs 600/5 = 120 s. In that time the car travels 15 x 120 = 1800 m.

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