UPSC Exam > UPSC Questions > There is a circular path around a sport field...
Start Learning for Free
There is a circular path around a sport field . Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?
Most Upvoted Answer
There is a circular path around a sport field . Sonia takes 18 minutes...
Relative Speed
- Sonia takes 18 minutes to complete one round, so her speed is 1 round per 18 minutes or 1/18 rounds per minute.
- Ravi takes 12 minutes to complete one round, so his speed is 1 round per 12 minutes or 1/12 rounds per minute.
- The relative speed at which they are moving with respect to each other is the difference between their speeds, which is 1/12 - 1/18 = 1/36 rounds per minute.
Time to Meet Again
- To find out when they will meet again at the starting point, we need to determine the time it takes for them to cover the difference in the distance they have traveled.
- The time taken to meet again can be calculated by dividing the total distance of the circular path by the relative speed at which they are moving with respect to each other.
- Let the total distance of the circular path be D. Since they cover the entire circumference of the circle, D = 2πr, where r is the radius of the circular path.
- The relative speed at which they are moving with respect to each other is 1/36 rounds per minute.
- So, the time taken to meet again is D / (1/36) = 36D minutes.
Conclusion
- In conclusion, Sonia and Ravi will meet again at the starting point after 36 times the time it takes for them to complete one round individually.
- Substituting the values of D = 2πr, Sonia's time to complete one round = 18 minutes, and Ravi's time to complete one round = 12 minutes, we can calculate the exact time after which they will meet again at the starting point.
- Sonia takes 18 minutes to complete one round, so her speed is 1 round per 18 minutes or 1/18 rounds per minute.
- Ravi takes 12 minutes to complete one round, so his speed is 1 round per 12 minutes or 1/12 rounds per minute.
- The relative speed at which they are moving with respect to each other is the difference between their speeds, which is 1/12 - 1/18 = 1/36 rounds per minute.
Time to Meet Again
- To find out when they will meet again at the starting point, we need to determine the time it takes for them to cover the difference in the distance they have traveled.
- The time taken to meet again can be calculated by dividing the total distance of the circular path by the relative speed at which they are moving with respect to each other.
- Let the total distance of the circular path be D. Since they cover the entire circumference of the circle, D = 2πr, where r is the radius of the circular path.
- The relative speed at which they are moving with respect to each other is 1/36 rounds per minute.
- So, the time taken to meet again is D / (1/36) = 36D minutes.
Conclusion
- In conclusion, Sonia and Ravi will meet again at the starting point after 36 times the time it takes for them to complete one round individually.
- Substituting the values of D = 2πr, Sonia's time to complete one round = 18 minutes, and Ravi's time to complete one round = 12 minutes, we can calculate the exact time after which they will meet again at the starting point.
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
There is a circular path around a sport field . Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?
Question Description
There is a circular path around a sport field . Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about There is a circular path around a sport field . Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There is a circular path around a sport field . Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?.
There is a circular path around a sport field . Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about There is a circular path around a sport field . Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There is a circular path around a sport field . Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?.
Solutions for There is a circular path around a sport field . Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point? 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 There is a circular path around a sport field . Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point? defined & explained in the simplest way possible. Besides giving the explanation of
There is a circular path around a sport field . Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?, a detailed solution for There is a circular path around a sport field . Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point? has been provided alongside types of There is a circular path around a sport field . Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point? theory, EduRev gives you an
ample number of questions to practice There is a circular path around a sport field . Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point? 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