AIIMS 2018 Physics Relative Motion MCQ Question

To determine the speed of the scootorist $v_r$, we can set up the equation based on the relationship given: $v = v_r + 10$. The speed of the overtaking bus $v$ must be greater than the scootorist's speed, and since the scootorist travels 1200 m in a certain time, we can assume that if $v_r = 40 \, \text{m/s}$, then $v = 50 \, \text{m/s}$, allowing the bus to overtake the scootorist effectively.

Options A (10 m/s), B (20 m/s), and C (30 m/s) yield speeds for the bus that are too low to realistically overtake the scootorist within the same distance and time frame, as they would not provide sufficient speed differential. Thus, $v_r = 40 \, \text{m/s}$ is the only viable solution that satisfies the conditions of the problem.