Time and Distance – Speed from distance-time data (unit conversion included): Arjun runs 1500 metres in 5 minutes. What is his speed expressed in km/h?

Difficulty: Easy

Correct Answer: 18 km/hr

Explanation:


Introduction / Context:
This is a straightforward speed = distance / time problem with unit conversions. Convert metres to kilometres and minutes to hours, then divide.


Given Data / Assumptions:

  • Distance = 1500 m = 1.5 km.
  • Time = 5 min = 5/60 h = 1/12 h.


Concept / Approach:
Speed (km/h) = distance (km) / time (h).


Step-by-Step Solution:
Distance = 1.5 km.Time = 1/12 h.Speed = 1.5 / (1/12) = 1.5 * 12 = 18 km/h.


Verification / Alternative check:
Convert to m/s first (1500 m / 300 s = 5 m/s) and then to km/h (multiply by 3.6) ⇒ 5 * 3.6 = 18 km/h.


Why Other Options Are Wrong:
16, 15, 20, and 12 km/h do not match the correct conversions and division.


Common Pitfalls:
Forgetting to convert both units (distance and time) correctly before dividing.


Final Answer:
18 km/hr

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