Question
Download Solution PDFThe speed of a train, excluding stoppages, is 108 km per hour. Including stoppages, the speed is 90 km per hour. For how many minutes does the train stop per hour?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Speed of the train excluding stoppages = 108 km/hr
Speed of the train including stoppages = 90 km/hr
Calculations:
Consider the distance covered by the train in one hour (60 minutes) if there were no stoppages:
Distance = Speed × Time = 108 km/hr × 1 hr = 108 km
Now consider the actual distance covered by the train in one hour (60 minutes) including stoppages:
Distance = Speed × Time = 90 km/hr × 1 hr = 90 km
Distance not covered due to stoppages in one hour = 108 km - 90 km = 18 km
The time train would take to cover this 18 km (which was not covered due to stoppages) is the total stoppage time per hour.
Stoppage time (in hours) = 18 km / 108 km/hr = 1/6 hour
Stoppage time (in minutes) = (1/6) × 60 minutes = 10 minutes
∴ The train stops for 10 minutes per hour.
Last updated on Jun 19, 2025
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