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Without stoppage, a train travels a certain distance with an average speed of 60 km/h, and withstoppage, it covers the same distance with an average speed of 40 km/h. On an average, howmany minutes per hour does the train stop during the journey?
- a)20 min/h
- b)15 min/h
- c)10 min/h
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Without stoppage, a train travels a certain distance with an average s...
Since the train travels at 60 kmph, it’s speed per minute is 1 km per minute. Hence, if it’s speed
with stoppages is 40 kmph, it will travel 40 minutes per hour.
with stoppages is 40 kmph, it will travel 40 minutes per hour.
Most Upvoted Answer
Without stoppage, a train travels a certain distance with an average s...
Given Information:
- The train travels a certain distance without stoppage at an average speed of 60 km/h.
- The same distance is covered with stoppage at an average speed of 40 km/h.
To Find:
- The average time the train stops per hour during the journey.
Assumptions:
- The train travels at a constant speed throughout the journey without any acceleration or deceleration.
Approach:
1. Let's assume the total distance covered by the train is D km.
2. The time taken by the train to cover the distance without stoppage can be calculated using the formula: Time = Distance / Speed.
3. The time taken by the train to cover the distance with stoppage can also be calculated using the same formula.
4. The difference between these two times will give us the time the train stops during the journey.
5. Finally, we can convert this time into minutes per hour.
Calculation:
1. Time taken without stoppage:
- Distance = D km
- Speed = 60 km/h
- Time taken = D / 60 hours
2. Time taken with stoppage:
- Distance = D km
- Speed = 40 km/h
- Time taken = D / 40 hours
3. Time the train stops during the journey:
- Time stopped = Time taken without stoppage - Time taken with stoppage
= (D / 60) - (D / 40)
= D * (1/60 - 1/40)
= D * (2/120 - 3/120)
= D * (-1/120)
= -D / 120 hours
4. Converting time stopped into minutes per hour:
- Time stopped in minutes = (-D / 120) * 60 minutes
= -D / 2 minutes
Conclusion:
The train stops for -D / 2 minutes per hour during the journey. Since the distance and time cannot be negative, we can conclude that the train stops for D / 2 minutes per hour. Therefore, the correct answer is option 'A': 20 min/h.
- The train travels a certain distance without stoppage at an average speed of 60 km/h.
- The same distance is covered with stoppage at an average speed of 40 km/h.
To Find:
- The average time the train stops per hour during the journey.
Assumptions:
- The train travels at a constant speed throughout the journey without any acceleration or deceleration.
Approach:
1. Let's assume the total distance covered by the train is D km.
2. The time taken by the train to cover the distance without stoppage can be calculated using the formula: Time = Distance / Speed.
3. The time taken by the train to cover the distance with stoppage can also be calculated using the same formula.
4. The difference between these two times will give us the time the train stops during the journey.
5. Finally, we can convert this time into minutes per hour.
Calculation:
1. Time taken without stoppage:
- Distance = D km
- Speed = 60 km/h
- Time taken = D / 60 hours
2. Time taken with stoppage:
- Distance = D km
- Speed = 40 km/h
- Time taken = D / 40 hours
3. Time the train stops during the journey:
- Time stopped = Time taken without stoppage - Time taken with stoppage
= (D / 60) - (D / 40)
= D * (1/60 - 1/40)
= D * (2/120 - 3/120)
= D * (-1/120)
= -D / 120 hours
4. Converting time stopped into minutes per hour:
- Time stopped in minutes = (-D / 120) * 60 minutes
= -D / 2 minutes
Conclusion:
The train stops for -D / 2 minutes per hour during the journey. Since the distance and time cannot be negative, we can conclude that the train stops for D / 2 minutes per hour. Therefore, the correct answer is option 'A': 20 min/h.
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Without stoppage, a train travels a certain distance with an average speed of 60 km/h, and withstoppage, it covers the same distance with an average speed of 40 km/h. On an average, howmany minutes per hour does the train stop during the journey?a)20 min/hb)15 min/hc)10 min/hd)none of theseCorrect answer is option 'A'. Can you explain this answer?
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