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A non stop bus goes from one station to another station with a speed of 54 kilometre/hour .the same bus return from the second station to the first station with the with the speed of 36 km per hour find the average speed of the bus for the entire journey?
Verified Answer
A non stop bus goes from one station to another station with a speed o...
Avg. speed = 2d/(d/36 + d/54) = 2*54*36/(36 + 54) = 2*3*36/5 = 43.2 kmph.
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Most Upvoted Answer
A non stop bus goes from one station to another station with a speed o...
Let the distance between both the station be x km
speed of bus from first station to second is 54 km/h
then time taken (t1) by bus to complete this journey is equal to ( x/54 )h
speed of bus from second station to first is 36km/h
then time taken ( t2 ) by bus to complete this journey is equal to ( x/36 )h
average speed = total distance / total time taken
=. [ x + x /(x/54} + { x/36 }] km/h
=. [ 2x / { (2x + 3x ) /108}] km/h
=. [ 2x × 108/5x ] km/h
=. [ 216 / 5 ] km/h
=. 43.2 km/h
speed of bus from first station to second is 54 km/h
then time taken (t1) by bus to complete this journey is equal to ( x/54 )h
speed of bus from second station to first is 36km/h
then time taken ( t2 ) by bus to complete this journey is equal to ( x/36 )h
average speed = total distance / total time taken
=. [ x + x /(x/54} + { x/36 }] km/h
=. [ 2x / { (2x + 3x ) /108}] km/h
=. [ 2x × 108/5x ] km/h
=. [ 216 / 5 ] km/h
=. 43.2 km/h
Community Answer
A non stop bus goes from one station to another station with a speed o...
Problem: A non-stop bus travels from one station to another station with a speed of 54 kilometers per hour. The same bus returns from the second station to the first station with a speed of 36 kilometers per hour. Find the average speed of the bus for the entire journey.
Solution:
To find the average speed of the bus for the entire journey, we can use the formula:
Average Speed = Total Distance / Total Time
To calculate the total distance, we need to consider the distance traveled from the first station to the second station and back to the first station.
Let's assume the distance between the two stations is 'd' kilometers.
The distance traveled from the first station to the second station is 'd' kilometers.
The distance traveled from the second station back to the first station is also 'd' kilometers.
Therefore, the total distance covered by the bus for the entire journey is 2d kilometers.
To calculate the total time, we need to consider the time taken to travel from the first station to the second station and back to the first station.
The time taken to travel from the first station to the second station can be calculated using the formula:
Time = Distance / Speed
For the first leg of the journey (from the first station to the second station), the time taken is:
Time1 = d / 54
For the second leg of the journey (from the second station back to the first station), the time taken is:
Time2 = d / 36
Therefore, the total time taken for the entire journey is:
Total Time = Time1 + Time2 = d / 54 + d / 36
Now that we have calculated the total distance and the total time, we can find the average speed using the formula:
Average Speed = Total Distance / Total Time
Substituting the values:
Average Speed = 2d / (d / 54 + d / 36)
Simplifying the expression:
Average Speed = 2d / [(36d + 54d) / (36 * 54)]
Average Speed = 2d / (90d / 1944)
Average Speed = 2d * (1944 / 90d)
Average Speed = 4320 / 90
Average Speed = 48 kilometers per hour
Therefore, the average speed of the bus for the entire journey is 48 kilometers per hour.
Solution:
To find the average speed of the bus for the entire journey, we can use the formula:
Average Speed = Total Distance / Total Time
To calculate the total distance, we need to consider the distance traveled from the first station to the second station and back to the first station.
Let's assume the distance between the two stations is 'd' kilometers.
Calculating the Total Distance:
The distance traveled from the first station to the second station is 'd' kilometers.
The distance traveled from the second station back to the first station is also 'd' kilometers.
Therefore, the total distance covered by the bus for the entire journey is 2d kilometers.
Calculating the Total Time:
To calculate the total time, we need to consider the time taken to travel from the first station to the second station and back to the first station.
The time taken to travel from the first station to the second station can be calculated using the formula:
Time = Distance / Speed
For the first leg of the journey (from the first station to the second station), the time taken is:
Time1 = d / 54
For the second leg of the journey (from the second station back to the first station), the time taken is:
Time2 = d / 36
Therefore, the total time taken for the entire journey is:
Total Time = Time1 + Time2 = d / 54 + d / 36
Calculating the Average Speed:
Now that we have calculated the total distance and the total time, we can find the average speed using the formula:
Average Speed = Total Distance / Total Time
Substituting the values:
Average Speed = 2d / (d / 54 + d / 36)
Simplifying the expression:
Average Speed = 2d / [(36d + 54d) / (36 * 54)]
Average Speed = 2d / (90d / 1944)
Average Speed = 2d * (1944 / 90d)
Average Speed = 4320 / 90
Average Speed = 48 kilometers per hour
Therefore, the average speed of the bus for the entire journey is 48 kilometers per hour.
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A non stop bus goes from one station to another station with a speed of 54 kilometre/hour .the same bus return from the second station to the first station with the with the speed of 36 km per hour find the average speed of the bus for the entire journey?
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A non stop bus goes from one station to another station with a speed of 54 kilometre/hour .the same bus return from the second station to the first station with the with the speed of 36 km per hour find the average speed of the bus for the entire journey? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A non stop bus goes from one station to another station with a speed of 54 kilometre/hour .the same bus return from the second station to the first station with the with the speed of 36 km per hour find the average speed of the bus for the entire journey? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A non stop bus goes from one station to another station with a speed of 54 kilometre/hour .the same bus return from the second station to the first station with the with the speed of 36 km per hour find the average speed of the bus for the entire journey?.
A non stop bus goes from one station to another station with a speed of 54 kilometre/hour .the same bus return from the second station to the first station with the with the speed of 36 km per hour find the average speed of the bus for the entire journey? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A non stop bus goes from one station to another station with a speed of 54 kilometre/hour .the same bus return from the second station to the first station with the with the speed of 36 km per hour find the average speed of the bus for the entire journey? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A non stop bus goes from one station to another station with a speed of 54 kilometre/hour .the same bus return from the second station to the first station with the with the speed of 36 km per hour find the average speed of the bus for the entire journey?.
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