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A bus travels at the rate of 54 kmph without stoppages and it travels at 45 kmph with stoppages. How many minutes does the bus stop on an average per hour?
- a)8 minutes
- b)6 minutes
- c)10 minutes
- d)4 minutes
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A bus travels at the rate of 54 kmph without stoppages and it travels ...
Due to stoppages, the bus can cover 9 km less per hour[54 -45 = 9] Time taken to cover 9 km =(9/54) x 60 = 10 minutes.
Most Upvoted Answer
A bus travels at the rate of 54 kmph without stoppages and it travels ...
Given:
Speed without stoppages = 54 kmph
Speed with stoppages = 45 kmph
To find:
The time (in minutes) for which the bus stops on average per hour.
Solution:
Let the time for which the bus stops be 'x' minutes per hour.
When the bus travels without stoppages, the distance covered in 1 hour = 54 km
When the bus travels with stoppages, the distance covered in 1 hour = 45 km
Let us assume that the total distance covered by the bus is 'd' km.
Then, the time taken to cover the distance 'd' without stoppages = d/54 hours
The time taken to cover the same distance 'd' with stoppages = d/45 hours
The difference in time due to stoppages = (d/45) - (d/54) = d(54 - 45)/(45 x 54) = d/270
As we know, the difference in time due to stoppages is 'x' minutes per hour.
So, we have the equation: d/270 = x/60 (converting minutes to hours)
Simplifying the equation, we get: x = d/4.5
Therefore, the time for which the bus stops on average per hour is x = d/4.5 minutes.
Answer: Option C - 10 minutes.
Speed without stoppages = 54 kmph
Speed with stoppages = 45 kmph
To find:
The time (in minutes) for which the bus stops on average per hour.
Solution:
Let the time for which the bus stops be 'x' minutes per hour.
When the bus travels without stoppages, the distance covered in 1 hour = 54 km
When the bus travels with stoppages, the distance covered in 1 hour = 45 km
Let us assume that the total distance covered by the bus is 'd' km.
Then, the time taken to cover the distance 'd' without stoppages = d/54 hours
The time taken to cover the same distance 'd' with stoppages = d/45 hours
The difference in time due to stoppages = (d/45) - (d/54) = d(54 - 45)/(45 x 54) = d/270
As we know, the difference in time due to stoppages is 'x' minutes per hour.
So, we have the equation: d/270 = x/60 (converting minutes to hours)
Simplifying the equation, we get: x = d/4.5
Therefore, the time for which the bus stops on average per hour is x = d/4.5 minutes.
Answer: Option C - 10 minutes.
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A bus travels at the rate of 54 kmph without stoppages and it travels at 45 kmph with stoppages. How many minutes does the bus stop on an average per hour?a)8 minutesb)6 minutesc)10 minutesd)4 minutesCorrect answer is option 'C'. Can you explain this answer?
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