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The average speed of a train between two stations, without considering the stoppages is 96 miles/hr. When the stoppages are considered, the average speed is 84 miles/hr. How many minutes per hour on an average were the stoppages?
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The average speed of a train between two stations, without considering...
To find the average stoppage time per hour for the train, we can break down the problem using the average speeds provided.
Understanding Average Speeds
- The train's average speed without stoppages is **96 miles/hr**.
- The average speed with stoppages considered is **84 miles/hr**.
Calculating Effective Speed Reduction
- The difference in speeds indicates the effect of stoppages:
- **Speed without stoppages** - **Speed with stoppages** = **Stoppage Effect**
- 96 miles/hr - 84 miles/hr = **12 miles/hr**.
Relating Speed to Time
- Speed is defined as distance divided by time. To maintain the same distance, stoppages reduce the effective speed:
- For every hour of travel at 96 miles/hr, the train covers 96 miles.
- At 84 miles/hr, it covers only 84 miles in that hour.
Calculating Time Spent Stopped
- The difference in distance covered in one hour (96 miles - 84 miles = 12 miles) can be used to find how much time was effectively lost due to stoppages.
- The time taken to cover 12 miles at a speed of 96 miles/hr:
- Time = Distance / Speed = 12 miles / 96 miles/hr = **1/8 hour**.
Converting Hours to Minutes
- To find the stoppage time in minutes:
- 1/8 hour = 7.5 minutes.
Conclusion
- On average, the train stops for approximately **7.5 minutes per hour**. This calculation shows how significant stoppages can impact overall travel time and average speed.
Understanding Average Speeds
- The train's average speed without stoppages is **96 miles/hr**.
- The average speed with stoppages considered is **84 miles/hr**.
Calculating Effective Speed Reduction
- The difference in speeds indicates the effect of stoppages:
- **Speed without stoppages** - **Speed with stoppages** = **Stoppage Effect**
- 96 miles/hr - 84 miles/hr = **12 miles/hr**.
Relating Speed to Time
- Speed is defined as distance divided by time. To maintain the same distance, stoppages reduce the effective speed:
- For every hour of travel at 96 miles/hr, the train covers 96 miles.
- At 84 miles/hr, it covers only 84 miles in that hour.
Calculating Time Spent Stopped
- The difference in distance covered in one hour (96 miles - 84 miles = 12 miles) can be used to find how much time was effectively lost due to stoppages.
- The time taken to cover 12 miles at a speed of 96 miles/hr:
- Time = Distance / Speed = 12 miles / 96 miles/hr = **1/8 hour**.
Converting Hours to Minutes
- To find the stoppage time in minutes:
- 1/8 hour = 7.5 minutes.
Conclusion
- On average, the train stops for approximately **7.5 minutes per hour**. This calculation shows how significant stoppages can impact overall travel time and average speed.
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The average speed of a train between two stations, without considering the stoppages is 96 miles/hr. When the stoppages are considered, the average speed is 84 miles/hr. How many minutes per hour on an average were the stoppages?
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The average speed of a train between two stations, without considering the stoppages is 96 miles/hr. When the stoppages are considered, the average speed is 84 miles/hr. How many minutes per hour on an average were the stoppages? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The average speed of a train between two stations, without considering the stoppages is 96 miles/hr. When the stoppages are considered, the average speed is 84 miles/hr. How many minutes per hour on an average were the stoppages? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average speed of a train between two stations, without considering the stoppages is 96 miles/hr. When the stoppages are considered, the average speed is 84 miles/hr. How many minutes per hour on an average were the stoppages?.
The average speed of a train between two stations, without considering the stoppages is 96 miles/hr. When the stoppages are considered, the average speed is 84 miles/hr. How many minutes per hour on an average were the stoppages? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The average speed of a train between two stations, without considering the stoppages is 96 miles/hr. When the stoppages are considered, the average speed is 84 miles/hr. How many minutes per hour on an average were the stoppages? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average speed of a train between two stations, without considering the stoppages is 96 miles/hr. When the stoppages are considered, the average speed is 84 miles/hr. How many minutes per hour on an average were the stoppages?.
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