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To determine how many minutes the train stops on average per hour, we need to find the difference in time taken between traveling without stoppages and traveling with stoppages over a distance of 100 km (assuming a convenient distance for calculation).
Time taken without stoppages:
Speed = 50 km/h
Distance = 100 km
Time = Distance / Speed = 100 km / 50 km/h = 2 hours
Time taken with stoppages:
Speed = 40 km/h
Distance = 100 km
Time = Distance / Speed = 100 km / 40 km/h = 2.5 hours
Difference in time = Time with stoppages – Time without stoppages
Difference in time = 2.5 hours – 2 hours = 0.5 hours
Convert the difference in time from hours to minutes:
0.5 hours × 60 minutes/hour = 30 minutes
Therefore, the train stops on average for 30 minutes per hour.
Time of stoppages at stations = Time taken to cover (50 – 40) km = 10 km at 50km/h
= 10/50 hour
= (1/5 × 60) minutes
= 12 minutes
Answer: The train stop on an average per hour is 12 minutes.