Suptisree BiswasKnowledge Contributor
A train travels at the rate of 50 km/h without stoppages and it travels at 40 km/h with stoppages. How many minutes does the train stop on an average per hour?
A train travels at the rate of 50 km/h without stoppages and it travels at 40 km/h with stoppages. How many minutes does the train stop on an average per hour?
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.