UPSC Exam > UPSC Questions > A train travels at a certain average speed fo...
Start Learning for Free
A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train in km/hr?
- a)24
- b)33
- c)42
- d)66
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A train travels at a certain average speed for a distance of 63 km and...
Let the original speed be ‘S’.
Total time taken = 3 hr => 63/S + 72/S+6 = 3 You can solve the question easily if you just do an option check. Otherwise the long way is to solve the equation completely. Save time.
As we have 63 in the numerator, we can assume that S may be a multiple of 7. The only option available is 4. So, let us try with that. 63/42 + 72/48 = 3/2 + 3/2 = 3
You have the answer.
Total time taken = 3 hr => 63/S + 72/S+6 = 3 You can solve the question easily if you just do an option check. Otherwise the long way is to solve the equation completely. Save time.
As we have 63 in the numerator, we can assume that S may be a multiple of 7. The only option available is 4. So, let us try with that. 63/42 + 72/48 = 3/2 + 3/2 = 3
You have the answer.
Most Upvoted Answer
A train travels at a certain average speed for a distance of 63 km and...
Given information:
- Distance of first part of journey = 63 km
- Distance of second part of journey = 72 km
- Total time taken for the journey = 3 hours
Let's assume:
- Original speed of the train = x km/hr
- Speed for the second part of the journey = x + 6 km/hr
Calculating time taken for each part of the journey:
- Time taken for first part = Distance/Speed = 63/x hours
- Time taken for second part = Distance/Speed = 72/(x+6) hours
Given total time taken for the journey is 3 hours:
63/x + 72/(x+6) = 3
63/x + 72/(x+6) = 3
Multiplying through by x(x+6) to clear the fractions:
63(x+6) + 72x = 3x(x+6)
63x + 378 + 72x = 3x^2 + 18x
3x^2 - 117x - 378 = 0
x^2 - 39x - 126 = 0
(x-42)(x+3) = 0
Calculating the original speed of the train:
The original speed cannot be negative, so x = 42 km/hr
Therefore, the original speed of the train is 42 km/hr. Hence, option c) 42 is the correct answer.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train in km/hr?a)24b)33c)42d)66Correct answer is option 'C'. Can you explain this answer?
Question Description
A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train in km/hr?a)24b)33c)42d)66Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train in km/hr?a)24b)33c)42d)66Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train in km/hr?a)24b)33c)42d)66Correct answer is option 'C'. Can you explain this answer?.
A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train in km/hr?a)24b)33c)42d)66Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train in km/hr?a)24b)33c)42d)66Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train in km/hr?a)24b)33c)42d)66Correct answer is option 'C'. Can you explain this answer?.
Solutions for A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train in km/hr?a)24b)33c)42d)66Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train in km/hr?a)24b)33c)42d)66Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train in km/hr?a)24b)33c)42d)66Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train in km/hr?a)24b)33c)42d)66Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train in km/hr?a)24b)33c)42d)66Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train in km/hr?a)24b)33c)42d)66Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
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