Question : The speed of a train including stoppages is 75 kmph and excluding stoppages, the speed of the train is 90 kmph. For how many minutes does the train stop per hour?
Option 1: 10 minutes
Option 2: 15 minutes
Option 3: 20 minutes
Option 4: 11 minutes
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Correct Answer: 10 minutes
Solution :
The speed of a train including stoppages is 75 kmph.
The speed of a train excluding stoppages is 90 kmph.
Speed = $\frac{\text {Distance}}{\text{Time}}$
Since,
The speed of a train is 90 km/hour excluding stoppages.
The speed of the train is 75 km/hour including stoppages.
So, due to stoppage in 1 hour it covers = (90–75) km = 15 km less
Time taken by train in stoppage per hour = $\frac{15}{90} = \frac{1}{6}$ hour = 10 minutes.
Hence, the correct answer is 10 minutes.
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