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On a 120km track, a train travels the first 30km with a uniform speed of 30km/h. How fast must the train travel the next 90km so as to average 60km/h for the entire trip ?
Most Upvoted Answer
On a 120km track, a train travels the first 30km with a uniform speed...
Problem Analysis:
The problem is related to the calculation of the average speed of the train on a 120km track. The train travels the first 30km with a uniform speed of 30km/h. Our goal is to find out how fast the train must travel the next 90km so that the average speed of the train on the entire trip would be 60km/h.
Solution:
We can solve the problem by using the formula of average speed, which is given as:
Average Speed = Total Distance / Total Time
We know that the train travels the first 30km with a uniform speed of 30km/h. Therefore, the time taken by the train to cover this distance can be calculated as:
Time taken = Distance / Speed = 30 / 30 = 1 hour
Now, we need to find out how fast the train must travel the next 90km so that the average speed of the train on the entire trip would be 60km/h. Let's assume that the train travels the next 90km with a speed of x km/h.
We can calculate the time taken by the train to cover the next 90km as:
Time taken = Distance / Speed = 90 / x
Now, we can calculate the total time taken by the train to cover the entire 120km track as:
Total Time = 1 + 90 / x
We also know that the average speed of the train on the entire trip is 60km/h. Therefore, we can write:
60 = 120 / (1 + 90 / x)
Simplifying the above equation, we get:
x = 180 km/h
Therefore, the train must travel the next 90km with a speed of 180 km/h so that the average speed of the train on the entire trip would be 60km/h.
Conclusion:
In conclusion, we can say that the train must travel the next 90km with a speed of 180 km/h so that the average speed of the train on the entire trip would be 60km/h. We have used the formula of average speed to solve the problem, and we have shown all the necessary calculations in detail.
The problem is related to the calculation of the average speed of the train on a 120km track. The train travels the first 30km with a uniform speed of 30km/h. Our goal is to find out how fast the train must travel the next 90km so that the average speed of the train on the entire trip would be 60km/h.
Solution:
We can solve the problem by using the formula of average speed, which is given as:
Average Speed = Total Distance / Total Time
We know that the train travels the first 30km with a uniform speed of 30km/h. Therefore, the time taken by the train to cover this distance can be calculated as:
Time taken = Distance / Speed = 30 / 30 = 1 hour
Now, we need to find out how fast the train must travel the next 90km so that the average speed of the train on the entire trip would be 60km/h. Let's assume that the train travels the next 90km with a speed of x km/h.
We can calculate the time taken by the train to cover the next 90km as:
Time taken = Distance / Speed = 90 / x
Now, we can calculate the total time taken by the train to cover the entire 120km track as:
Total Time = 1 + 90 / x
We also know that the average speed of the train on the entire trip is 60km/h. Therefore, we can write:
60 = 120 / (1 + 90 / x)
Simplifying the above equation, we get:
x = 180 km/h
Therefore, the train must travel the next 90km with a speed of 180 km/h so that the average speed of the train on the entire trip would be 60km/h.
Conclusion:
In conclusion, we can say that the train must travel the next 90km with a speed of 180 km/h so that the average speed of the train on the entire trip would be 60km/h. We have used the formula of average speed to solve the problem, and we have shown all the necessary calculations in detail.
Community Answer
On a 120km track, a train travels the first 30km with a uniform speed...
Let v1=30km/h
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On a 120km track, a train travels the first 30km with a uniform speed of 30km/h. How fast must the train travel the next 90km so as to average 60km/h for the entire trip ?
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On a 120km track, a train travels the first 30km with a uniform speed of 30km/h. How fast must the train travel the next 90km so as to average 60km/h for the entire trip ? 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 On a 120km track, a train travels the first 30km with a uniform speed of 30km/h. How fast must the train travel the next 90km so as to average 60km/h for the entire trip ? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On a 120km track, a train travels the first 30km with a uniform speed of 30km/h. How fast must the train travel the next 90km so as to average 60km/h for the entire trip ?.
On a 120km track, a train travels the first 30km with a uniform speed of 30km/h. How fast must the train travel the next 90km so as to average 60km/h for the entire trip ? 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 On a 120km track, a train travels the first 30km with a uniform speed of 30km/h. How fast must the train travel the next 90km so as to average 60km/h for the entire trip ? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On a 120km track, a train travels the first 30km with a uniform speed of 30km/h. How fast must the train travel the next 90km so as to average 60km/h for the entire trip ?.
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