UPSC Exam > UPSC Questions > The ratio of the speeds of two trains is 2 : ...
Start Learning for Free
The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.?
Most Upvoted Answer
The ratio of the speeds of two trains is 2 : 5. If the distances they ...
Ratio of Speeds and Distances:
Given that the ratio of speeds of two trains is 2:5 and the distances they travel are in the ratio 5:9. Let's denote the speeds of the two trains as 2x and 5x, and the distances they travel as 5y and 9y, respectively.
Ratio of Times Taken:
The time taken is inversely proportional to speed. Therefore, the ratio of times taken by the two trains can be calculated as follows:
Time taken by the first train = Distance/Speed = 5y/2x = 5y/(2*2) = (5/4)y
Time taken by the second train = Distance/Speed = 9y/5x = 9y/(5*5) = (9/25)y
Therefore, the ratio of the times taken by the two trains is (5/4)y:(9/25)y.
Simplify Ratio:
To simplify the ratio, we can multiply the ratio by the reciprocal of the second term:
Ratio = (5/4)y : (9/25)y
Ratio = (5/4)y * (25/9) : (9/25)y * (25/9)
Ratio = 125/36 : 1
Ratio = 125 : 36
Therefore, the ratio of the times taken by the two trains is 125:36.
Given that the ratio of speeds of two trains is 2:5 and the distances they travel are in the ratio 5:9. Let's denote the speeds of the two trains as 2x and 5x, and the distances they travel as 5y and 9y, respectively.
Ratio of Times Taken:
The time taken is inversely proportional to speed. Therefore, the ratio of times taken by the two trains can be calculated as follows:
Time taken by the first train = Distance/Speed = 5y/2x = 5y/(2*2) = (5/4)y
Time taken by the second train = Distance/Speed = 9y/5x = 9y/(5*5) = (9/25)y
Therefore, the ratio of the times taken by the two trains is (5/4)y:(9/25)y.
Simplify Ratio:
To simplify the ratio, we can multiply the ratio by the reciprocal of the second term:
Ratio = (5/4)y : (9/25)y
Ratio = (5/4)y * (25/9) : (9/25)y * (25/9)
Ratio = 125/36 : 1
Ratio = 125 : 36
Therefore, the ratio of the times taken by the two trains is 125:36.
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
The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.?
Question Description
The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.?.
The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.?.
Solutions for The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.? 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 The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.? defined & explained in the simplest way possible. Besides giving the explanation of
The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.?, a detailed solution for The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.? has been provided alongside types of The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.? theory, EduRev gives you an
ample number of questions to practice The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC 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