Without stoppages, a train runs at 150 km/h; with stoppages, its average speed is 100 km/h. How many minutes per hour does the train stop?
Aptitude
Problems on Trains
Difficulty: Easy
Choose an option
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A20
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B15
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C25
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D45
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ENone of these
Answer
Correct Answer: 20
Explanation
Introduction / Context:The average speed over a clock hour falls below the running speed if the train stops. Using distance equivalence over one hour gives the stoppage duration per hour.
Given Data / Assumptions:
- Running speed = 150 km/h
- Average speed = 100 km/h
Concept / Approach:In one hour, actual distance = 100 km. Running time = distance / running speed = 100/150 h; stoppage = 1 − (100/150) h.
Step-by-Step Solution:
Running time = 100/150 = 2/3 h = 40 minutesStoppage per hour = 60 − 40 = 20 minutesVerification / Alternative check:Over 60 minutes: 40 minutes moving at 150 km/h gives 100 km average overall ✔
Why Other Options Are Wrong:
- 15, 25, 45 minutes would yield averages different from 100 km/h.
Common Pitfalls:
- Dividing 150 by 100 instead of 100 by 150 to get running-time fraction.
Final Answer:20