A train travels 300 km in 4 hours, then 150 km in 2 hours. Calculate its average speed for the entire journey. - Coaching Toolbox
Title: Understanding Average Speed: A Train Journey Overview
Title: Understanding Average Speed: A Train Journey Overview
When tracking train travel, one common question arises: what is the average speed of a journey? This is especially relevant when comparing different segments of a trip, such as a train traveling 300 km in 4 hours followed by 150 km in 2 hours.
In this article, we’ll analyze this rail journey to calculate its overall average speed and understand what it truly represents.
Understanding the Context
The Journey Breakdown
The train completes two distinct leg segments:
- First leg:
Distance = 300 km
Time = 4 hours
Speed = Distance ÷ Time = 300 km ÷ 4 h = 75 km/h
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Key Insights
- Second leg:
Distance = 150 km
Time = 2 hours
Speed = 150 km ÷ 2 h = 75 km/h
Calculating Total Distance and Total Time
To find the average speed for the entire journey, use the formula:
> Average Speed = Total Distance ÷ Total Time
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Total distance = 300 km + 150 km = 450 km
Total time = 4 hours + 2 hours = 6 hours
Now compute average speed:
> Average Speed = 450 km ÷ 6 h = 75 km/h
Interpretation of Average Speed
An average speed of 75 km/h over 6 hours indicates that, nominally, the train maintained a consistent pace of 75 km/h throughout the entire journey. This reflects steady performance across both segments, with no acceleration or deceleration affecting the mean speed significantly.
Key takeaway:
While individual segments can vary in speed, the overall average offers a simple, effective overview—exactly 75 km/h in this case—making it invaluable for planning travel time, reviewing efficiency, or comparing routes.
Conclusion
A train traveling 300 km in 4 hours and 150 km in 2 hours achieves an impressive average speed of 75 km/h. This calculation highlights the importance of total distance and time in determining true journey performance, offering clarity for travelers, engineers, and route planners alike.
