Class 10 Exam > Class 10 Questions > A train travels a distance of 90 km at a cons...
Start Learning for Free
A train travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train?
Most Upvoted Answer
A train travels a distance of 90 km at a constant speed. had the speed...
Analysis of the Problem:
The problem states that a train travels a distance of 90 km at a constant speed. If the speed were 15 km per hour more, the journey would have taken 30 minutes less. We need to find the original speed of the train.
Let's Assume:
Let's assume the original speed of the train is x km/hr.
Calculating Time Taken:
- Time taken to cover 90 km at the original speed = \( \frac{90}{x} \) hours
- Time taken to cover 90 km at the increased speed (x + 15) km/hr = \( \frac{90}{x+15} \) hours
Given Condition:
According to the given condition, the time taken at the increased speed is 30 minutes less than the original time.
\( \frac{90}{x} - \frac{90}{x+15} = \frac{1}{2} \) (as 30 minutes = 1/2 hour)
Solve the Equation:
Solving the above equation will give us the value of x, which is the original speed of the train.
Calculate the Original Speed:
By solving the equation, we can find the original speed of the train.
Conclusion:
The original speed of the train can be calculated by solving the given equation, considering the distance traveled and the time taken at the original and increased speeds.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Top Courses for Class 10View all
A train travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train?
Question Description
A train travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train? 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 travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train?.
A train travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train? 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 travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train?.
Solutions for A train travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of A train travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train? defined & explained in the simplest way possible. Besides giving the explanation of
A train travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train?, a detailed solution for A train travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train? has been provided alongside types of A train travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train? theory, EduRev gives you an
ample number of questions to practice A train travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup