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?
Aptitude
Time and Distance
Difficulty: Easy
Choose an option
Answer
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