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A train travels at the speed of 60 km per hour for 0.52 hour at 30 km per hour for the next 0.24 hour and then at 70 km per hour for the next 0.71 hour what is the average speed of the train?
Verified Answer
A train travels at the speed of 60 km per hour for 0.52 hour at 30 km ...
Here , total dist = speed x time
so , d = (60 x 0.52) + (30 x 0.24)+( 70 x 0.71)
=>d= 88.1 km
here ,total time taken will be
t= 0.52+0.24+0.71 = 1.47 hrs
wkt , average speed = d/t
=> 59.932 = 60 km/hr
This question is part of UPSC exam. View all Class 9 courses
Most Upvoted Answer
A train travels at the speed of 60 km per hour for 0.52 hour at 30 km ...
Calculating Average Speed of the Train
To calculate the average speed of the train, we need to find the total distance traveled and the total time taken.
Step 1: Calculate the Distance Traveled
To find the distance traveled, we need to multiply the speed of the train by the time taken at each speed.
Distance traveled at 60 km/h = 60 km/h * 0.52 h = 31.2 km
Distance traveled at 30 km/h = 30 km/h * 0.24 h = 7.2 km
Distance traveled at 70 km/h = 70 km/h * 0.71 h = 49.7 km
Total distance traveled = 31.2 km + 7.2 km + 49.7 km = 88.1 km
Step 2: Calculate the Total Time Taken
The total time taken is the sum of the individual times taken at each speed.
Total time taken = 0.52 h + 0.24 h + 0.71 h = 1.47 hours
Step 3: Calculate the Average Speed
The average speed is given by the formula:
Average speed = Total distance traveled / Total time taken
Average speed = 88.1 km / 1.47 h ≈ 59.93 km/h
Conclusion:
Therefore, the average speed of the train is approximately 59.93 km/h.
To calculate the average speed of the train, we need to find the total distance traveled and the total time taken.
Step 1: Calculate the Distance Traveled
To find the distance traveled, we need to multiply the speed of the train by the time taken at each speed.
Distance traveled at 60 km/h = 60 km/h * 0.52 h = 31.2 km
Distance traveled at 30 km/h = 30 km/h * 0.24 h = 7.2 km
Distance traveled at 70 km/h = 70 km/h * 0.71 h = 49.7 km
Total distance traveled = 31.2 km + 7.2 km + 49.7 km = 88.1 km
Step 2: Calculate the Total Time Taken
The total time taken is the sum of the individual times taken at each speed.
Total time taken = 0.52 h + 0.24 h + 0.71 h = 1.47 hours
Step 3: Calculate the Average Speed
The average speed is given by the formula:
Average speed = Total distance traveled / Total time taken
Average speed = 88.1 km / 1.47 h ≈ 59.93 km/h
Conclusion:
Therefore, the average speed of the train is approximately 59.93 km/h.
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A train travels at the speed of 60 km per hour for 0.52 hour at 30 km per hour for the next 0.24 hour and then at 70 km per hour for the next 0.71 hour what is the average speed of the train?
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A train travels at the speed of 60 km per hour for 0.52 hour at 30 km per hour for the next 0.24 hour and then at 70 km per hour for the next 0.71 hour what is the average speed of the train? 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 train travels at the speed of 60 km per hour for 0.52 hour at 30 km per hour for the next 0.24 hour and then at 70 km per hour for the next 0.71 hour what is the average speed of the train? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train travels at the speed of 60 km per hour for 0.52 hour at 30 km per hour for the next 0.24 hour and then at 70 km per hour for the next 0.71 hour what is the average speed of the train?.
A train travels at the speed of 60 km per hour for 0.52 hour at 30 km per hour for the next 0.24 hour and then at 70 km per hour for the next 0.71 hour what is the average speed of the train? 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 train travels at the speed of 60 km per hour for 0.52 hour at 30 km per hour for the next 0.24 hour and then at 70 km per hour for the next 0.71 hour what is the average speed of the train? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train travels at the speed of 60 km per hour for 0.52 hour at 30 km per hour for the next 0.24 hour and then at 70 km per hour for the next 0.71 hour what is the average speed of the train?.
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