Quant Exam > Quant Questions > Charlie and Alan run a race between points A ...
Start Learning for Free
Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?
- a)10 a.m.
- b)10:20 a.m.
- c)10:10 a.m.
- d)10:30 a.m.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Charlie and Alan run a race between points A and B, 5 km apart. Charli...
This question is part of UPSC exam. View all Quant courses
Most Upvoted Answer
Charlie and Alan run a race between points A and B, 5 km apart. Charli...
Given information:
- Distance between points A and B is 5 km.
- Charlie starts at 9 a.m. from A at a speed of 5 km/hr.
- Alan starts at 9:45 a.m. from A at a speed of 10 km/hr.
Approach:
To find the time when Charlie and Alan first meet each other, we need to determine the time it takes for each person to reach point B and return to point A. Then we can compare their arrival times and find the point of intersection.
Calculations:
1. Charlie's journey:
- Distance between A and B is 5 km.
- Charlie's speed is 5 km/hr.
- Time taken by Charlie to reach B = Distance/Speed = 5/5 = 1 hour.
- Time taken by Charlie to return from B to A = 1 hour.
2. Alan's journey:
- Distance between A and B is 5 km.
- Alan's speed is 10 km/hr.
- Time taken by Alan to reach B = Distance/Speed = 5/10 = 0.5 hours = 30 minutes.
- Time taken by Alan to return from B to A = 0.5 hours = 30 minutes.
3. Time of intersection:
- Charlie starts at 9 a.m. and returns to A at 10 a.m.
- Alan starts at 9:45 a.m. and returns to A at 10:15 a.m.
- If we compare their arrival times, Charlie arrives first at 10 a.m. and Alan arrives at 10:15 a.m.
- Therefore, the first meeting time is between 10 a.m. and 10:15 a.m.
4. Calculation of exact meeting time:
- Charlie takes 1 hour to reach B, so he covers 5 km in 1 hour.
- Alan takes 0.5 hours to reach B, so he covers 5 km in 0.5 hours.
- The difference in their arrival times is 1 hour - 0.5 hours = 0.5 hours = 30 minutes.
- Charlie and Alan will meet each other halfway, so the meeting point is 2.5 km from A.
- Since Charlie's speed is 5 km/hr, he covers 2.5 km in 0.5 hours = 30 minutes.
- Therefore, Charlie and Alan will meet each other at 10:10 a.m.
Conclusion:
Charlie and Alan will first meet each other at 10:10 a.m. (option c).
- Distance between points A and B is 5 km.
- Charlie starts at 9 a.m. from A at a speed of 5 km/hr.
- Alan starts at 9:45 a.m. from A at a speed of 10 km/hr.
Approach:
To find the time when Charlie and Alan first meet each other, we need to determine the time it takes for each person to reach point B and return to point A. Then we can compare their arrival times and find the point of intersection.
Calculations:
1. Charlie's journey:
- Distance between A and B is 5 km.
- Charlie's speed is 5 km/hr.
- Time taken by Charlie to reach B = Distance/Speed = 5/5 = 1 hour.
- Time taken by Charlie to return from B to A = 1 hour.
2. Alan's journey:
- Distance between A and B is 5 km.
- Alan's speed is 10 km/hr.
- Time taken by Alan to reach B = Distance/Speed = 5/10 = 0.5 hours = 30 minutes.
- Time taken by Alan to return from B to A = 0.5 hours = 30 minutes.
3. Time of intersection:
- Charlie starts at 9 a.m. and returns to A at 10 a.m.
- Alan starts at 9:45 a.m. and returns to A at 10:15 a.m.
- If we compare their arrival times, Charlie arrives first at 10 a.m. and Alan arrives at 10:15 a.m.
- Therefore, the first meeting time is between 10 a.m. and 10:15 a.m.
4. Calculation of exact meeting time:
- Charlie takes 1 hour to reach B, so he covers 5 km in 1 hour.
- Alan takes 0.5 hours to reach B, so he covers 5 km in 0.5 hours.
- The difference in their arrival times is 1 hour - 0.5 hours = 0.5 hours = 30 minutes.
- Charlie and Alan will meet each other halfway, so the meeting point is 2.5 km from A.
- Since Charlie's speed is 5 km/hr, he covers 2.5 km in 0.5 hours = 30 minutes.
- Therefore, Charlie and Alan will meet each other at 10:10 a.m.
Conclusion:
Charlie and Alan will first meet each other at 10:10 a.m. (option c).
|
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?a)10 a.m.b)10:20 a.m.c)10:10 a.m.d)10:30 a.m.Correct answer is option 'C'. Can you explain this answer?
Question Description
Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?a)10 a.m.b)10:20 a.m.c)10:10 a.m.d)10:30 a.m.Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?a)10 a.m.b)10:20 a.m.c)10:10 a.m.d)10:30 a.m.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?a)10 a.m.b)10:20 a.m.c)10:10 a.m.d)10:30 a.m.Correct answer is option 'C'. Can you explain this answer?.
Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?a)10 a.m.b)10:20 a.m.c)10:10 a.m.d)10:30 a.m.Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?a)10 a.m.b)10:20 a.m.c)10:10 a.m.d)10:30 a.m.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?a)10 a.m.b)10:20 a.m.c)10:10 a.m.d)10:30 a.m.Correct answer is option 'C'. Can you explain this answer?.
Solutions for Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?a)10 a.m.b)10:20 a.m.c)10:10 a.m.d)10:30 a.m.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?a)10 a.m.b)10:20 a.m.c)10:10 a.m.d)10:30 a.m.Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?a)10 a.m.b)10:20 a.m.c)10:10 a.m.d)10:30 a.m.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?a)10 a.m.b)10:20 a.m.c)10:10 a.m.d)10:30 a.m.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?a)10 a.m.b)10:20 a.m.c)10:10 a.m.d)10:30 a.m.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?a)10 a.m.b)10:20 a.m.c)10:10 a.m.d)10:30 a.m.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant 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