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Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
  • a)
    10
  • b)
    12
  • c)
    20
  • d)
    9
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Excluding stoppages, the speed of a bus is 54 kmph and including stopp...
Due to stoppages, it covers 9 km less.
Time taken to cover 9 km = (9/54)x 60 mins = 10 mins
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Most Upvoted Answer
Excluding stoppages, the speed of a bus is 54 kmph and including stopp...
Understanding the Problem
The bus speed varies depending on whether we include stoppages or not.
- Speed Excluding Stoppages: 54 kmph
- Speed Including Stoppages: 45 kmph
Calculating Effective Speed Loss Due to Stoppages
To find out how long the bus stops, we need to calculate the difference in speed:
- Difference in Speed: 54 kmph - 45 kmph = 9 kmph
Time Calculation
Now, we want to determine how much time the bus spends stopping in one hour.
- Effective Speed: When the bus travels for one hour without stopping, it covers 54 km.
- Distance Covered Including Stoppages: At 45 kmph for one hour, the bus covers 45 km.
Distance Covered During Stops
The distance lost due to stoppages can be calculated:
- Distance Lost: 54 km - 45 km = 9 km
Time Taken for Stoppages
To find out how long the bus stops, we can use the effective speed during stoppages:
- Time Stopped: Distance lost due to stoppages / Speed due to stoppages
- Using the formula: Time = Distance / Speed
- Time = 9 km / 54 kmph = 1/6 hour
Converting Hours to Minutes
Converting this time into minutes:
- 1 hour = 60 minutes
- Time stopped: (1/6) * 60 = 10 minutes
Conclusion
Thus, the bus stops for 10 minutes per hour, confirming that the correct answer is option 'A'.
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