A certain distance is covered in 2 hours 45 minutes at 4 km/h. How much time (in minutes and seconds) will be needed to cover the same distance at 16.5 km/h?

Introduction / Context:The distance remains identical; thus time scales inversely with speed. First compute the distance using the initial speed and time, then divide by the new speed to find the new time.

Given Data / Assumptions:

• Speed1 = 4 km/h; Time1 = 2 h 45 min = 2.75 h.
• Speed2 = 16.5 km/h.

Concept / Approach:Distance D = v1 * t1. New time t2 = D / v2.

Step-by-Step Solution:

Verification / Alternative check:Proportion: t2 / t1 = v1 / v2 = 4 / 16.5 ≈ 0.2424; 0.2424 * 165 minutes ≈ 40 minutes.

Why Other Options Are Wrong:41 min 15 sec is a near-miss; 45 or 90 minutes contradict the inverse-speed relationship.

Common Pitfalls:Not converting hours/minutes consistently; rounding before the final step.

Final Answer:40 min