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On a 120 km track, a train travels the first 30 km with a uniform speed of 30 km/hr. How far must the train travels the next 90 km so as to average 60 km for the entire trip ?
Most Upvoted Answer
On a 120 km track, a train travels the first 30 km with a uniform spee...
Problem Analysis:
To find out the distance the train must travel in order to average 60 km/hr for the entire trip, we need to consider the average speed formula:
Average Speed = Total Distance / Total Time
To solve this problem, we will use the information given in the question to calculate the total time taken by the train for the first 30 km and the average speed required for the entire trip. Then, we can use these values to find the distance the train must travel for the next 90 km.
Solution:
Step 1: Calculate the total time taken by the train for the first 30 km.
Given:
Distance = 30 km
Speed = 30 km/hr
Using the formula: Time = Distance / Speed
Time = 30 km / 30 km/hr
Time = 1 hour
Step 2: Calculate the average speed required for the entire trip.
Given:
Total Distance = 120 km
Average Speed = 60 km/hr
Using the formula: Average Speed = Total Distance / Total Time
60 km/hr = 120 km / Total Time
Step 3: Calculate the total time taken for the entire trip.
Total Time = Total Distance / Average Speed
Total Time = 120 km / 60 km/hr
Total Time = 2 hours
Step 4: Calculate the time remaining for the next 90 km.
Time Remaining = Total Time - Time for the first 30 km
Time Remaining = 2 hours - 1 hour
Time Remaining = 1 hour
Step 5: Calculate the distance the train must travel for the next 90 km.
Distance = Speed x Time
Distance = 60 km/hr x 1 hour
Distance = 60 km
Answer:
The train must travel an additional 60 km to average 60 km/hr for the entire trip.
To find out the distance the train must travel in order to average 60 km/hr for the entire trip, we need to consider the average speed formula:
Average Speed = Total Distance / Total Time
To solve this problem, we will use the information given in the question to calculate the total time taken by the train for the first 30 km and the average speed required for the entire trip. Then, we can use these values to find the distance the train must travel for the next 90 km.
Solution:
Step 1: Calculate the total time taken by the train for the first 30 km.
Given:
Distance = 30 km
Speed = 30 km/hr
Using the formula: Time = Distance / Speed
Time = 30 km / 30 km/hr
Time = 1 hour
Step 2: Calculate the average speed required for the entire trip.
Given:
Total Distance = 120 km
Average Speed = 60 km/hr
Using the formula: Average Speed = Total Distance / Total Time
60 km/hr = 120 km / Total Time
Step 3: Calculate the total time taken for the entire trip.
Total Time = Total Distance / Average Speed
Total Time = 120 km / 60 km/hr
Total Time = 2 hours
Step 4: Calculate the time remaining for the next 90 km.
Time Remaining = Total Time - Time for the first 30 km
Time Remaining = 2 hours - 1 hour
Time Remaining = 1 hour
Step 5: Calculate the distance the train must travel for the next 90 km.
Distance = Speed x Time
Distance = 60 km/hr x 1 hour
Distance = 60 km
Answer:
The train must travel an additional 60 km to average 60 km/hr for the entire trip.
Community Answer
On a 120 km track, a train travels the first 30 km with a uniform spee...
Bhaii ye samajh nhii aaya how a train can travel more distance than the distance of its track..as according to ur question track distance is 20km and the train travels 110km.HOW??
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On a 120 km track, a train travels the first 30 km with a uniform speed of 30 km/hr. How far must the train travels the next 90 km so as to average 60 km for the entire trip ?
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On a 120 km track, a train travels the first 30 km with a uniform speed of 30 km/hr. How far must the train travels the next 90 km so as to average 60 km 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 120 km track, a train travels the first 30 km with a uniform speed of 30 km/hr. How far must the train travels the next 90 km so as to average 60 km 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 120 km track, a train travels the first 30 km with a uniform speed of 30 km/hr. How far must the train travels the next 90 km so as to average 60 km for the entire trip ?.
On a 120 km track, a train travels the first 30 km with a uniform speed of 30 km/hr. How far must the train travels the next 90 km so as to average 60 km 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 120 km track, a train travels the first 30 km with a uniform speed of 30 km/hr. How far must the train travels the next 90 km so as to average 60 km 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 120 km track, a train travels the first 30 km with a uniform speed of 30 km/hr. How far must the train travels the next 90 km so as to average 60 km for the entire trip ?.
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