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A train covered a certain distance at a uniform speed. If the train would have been 6 km/h faster, it would have taken 4 hours less than the scheduled time. And, if the train were slower by 6 km/h, it would have taken 6 hours more than the scheduled time. Find the length of the journey? With Step-by-step explanation.
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A train covered a certain distance at a uniform speed. If the train wo...
**Problem Analysis**
Let's assume the speed of the train is x km/h and the length of the journey is y km.
According to the given information, if the train were 6 km/h faster, it would have taken 4 hours less than the scheduled time. This can be represented by the equation:
y / (x + 6) = y / x - 4
Similarly, if the train were slower by 6 km/h, it would have taken 6 hours more than the scheduled time. This can be represented by the equation:
y / (x - 6) = y / x + 6
We can solve these equations to find the values of x and y.
**Solution**
Let's solve the first equation:
y / (x + 6) = y / x - 4
Cross multiplying, we get:
y(x - 4) = y(x + 6)
Expanding, we get:
xy - 4y = xy + 6y
Simplifying, we get:
-4y = 6y
This implies that y = 0.
However, the length of the journey cannot be zero, so there must be an error in the problem statement or in our analysis.
Please check the problem statement again and provide any additional information if available.
Let's assume the speed of the train is x km/h and the length of the journey is y km.
According to the given information, if the train were 6 km/h faster, it would have taken 4 hours less than the scheduled time. This can be represented by the equation:
y / (x + 6) = y / x - 4
Similarly, if the train were slower by 6 km/h, it would have taken 6 hours more than the scheduled time. This can be represented by the equation:
y / (x - 6) = y / x + 6
We can solve these equations to find the values of x and y.
**Solution**
Let's solve the first equation:
y / (x + 6) = y / x - 4
Cross multiplying, we get:
y(x - 4) = y(x + 6)
Expanding, we get:
xy - 4y = xy + 6y
Simplifying, we get:
-4y = 6y
This implies that y = 0.
However, the length of the journey cannot be zero, so there must be an error in the problem statement or in our analysis.
Please check the problem statement again and provide any additional information if available.
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A train covered a certain distance at a uniform speed. If the train would have been 6 km/h faster, it would have taken 4 hours less than the scheduled time. And, if the train were slower by 6 km/h, it would have taken 6 hours more than the scheduled time. Find the length of the journey? With Step-by-step explanation.
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A train covered a certain distance at a uniform speed. If the train would have been 6 km/h faster, it would have taken 4 hours less than the scheduled time. And, if the train were slower by 6 km/h, it would have taken 6 hours more than the scheduled time. Find the length of the journey? With Step-by-step explanation. for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A train covered a certain distance at a uniform speed. If the train would have been 6 km/h faster, it would have taken 4 hours less than the scheduled time. And, if the train were slower by 6 km/h, it would have taken 6 hours more than the scheduled time. Find the length of the journey? With Step-by-step explanation. covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train covered a certain distance at a uniform speed. If the train would have been 6 km/h faster, it would have taken 4 hours less than the scheduled time. And, if the train were slower by 6 km/h, it would have taken 6 hours more than the scheduled time. Find the length of the journey? With Step-by-step explanation..
A train covered a certain distance at a uniform speed. If the train would have been 6 km/h faster, it would have taken 4 hours less than the scheduled time. And, if the train were slower by 6 km/h, it would have taken 6 hours more than the scheduled time. Find the length of the journey? With Step-by-step explanation. for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A train covered a certain distance at a uniform speed. If the train would have been 6 km/h faster, it would have taken 4 hours less than the scheduled time. And, if the train were slower by 6 km/h, it would have taken 6 hours more than the scheduled time. Find the length of the journey? With Step-by-step explanation. covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train covered a certain distance at a uniform speed. If the train would have been 6 km/h faster, it would have taken 4 hours less than the scheduled time. And, if the train were slower by 6 km/h, it would have taken 6 hours more than the scheduled time. Find the length of the journey? With Step-by-step explanation..
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A train covered a certain distance at a uniform speed. If the train would have been 6 km/h faster, it would have taken 4 hours less than the scheduled time. And, if the train were slower by 6 km/h, it would have taken 6 hours more than the scheduled time. Find the length of the journey? With Step-by-step explanation., a detailed solution for A train covered a certain distance at a uniform speed. If the train would have been 6 km/h faster, it would have taken 4 hours less than the scheduled time. And, if the train were slower by 6 km/h, it would have taken 6 hours more than the scheduled time. Find the length of the journey? With Step-by-step explanation. has been provided alongside types of A train covered a certain distance at a uniform speed. If the train would have been 6 km/h faster, it would have taken 4 hours less than the scheduled time. And, if the train were slower by 6 km/h, it would have taken 6 hours more than the scheduled time. Find the length of the journey? With Step-by-step explanation. theory, EduRev gives you an
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