Difficulty: Easy
Correct Answer: 12 min
Explanation:
Introduction / Context:
Overall average speed over a clock hour equals distance covered in that hour. If the running speed is higher, the train must have stopped for some fraction of that hour. Solve for the moving-time fraction, then convert the remainder to minutes.
Given Data / Assumptions:
Concept / Approach:
Let moving time per hour be t hours. Then distance in one clock-hour = 50t. Given overall average 40 km/h, 50t = 40 ⇒ t = 0.8 h.
Step-by-Step Solution:
Verification / Alternative check:
In 48 minutes at 50 km/h, distance is 40 km, matching the overall 40 km/h.
Why Other Options Are Wrong:
6, 10, 14, 18 minutes correspond to incorrect moving fractions.
Common Pitfalls:
Confusing arithmetic mean of speeds with time-weighted average; not solving for t first.
Final Answer:
12 min
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