Excluding stoppage station, the speed of a train is 60 km/h and including stoppage station it travels at a speed of 45 km/h. For how many minutes does the train stop per hour?
Excluding stoppage station, the speed of a train is 60 km/h and including stoppage station it travels at a speed of 45 km/h. For how many minutes does the train stop per hour? Correct Answer 15 min
Given:
Excluding stoppage station, the speed of a train is 60 km/h and including stoppage station it travels at a speed of 45 km/h.
Concept used:
Time × Speed = Distance
1 hour = 60 minutes
Calculation:
Let the distance be D
So, the time required to cover the distance without stoppage will be = (D/60) hours
Time required for the same distance to cover with stoppage = (D/45) hours
Then, the train stop for {(D/45) - (D/60)} hours ⇒ D/180 hours
So,
the stoppage time of the train per hour
= {(D/180) ÷ (D/45)} hours
⇒ 1/4 hours
⇒ (1/4 × 60) minutes
⇒ 15 minutes
∴ For 15 minutes the train stops per hour.