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A and B start running simultaneously on a circular track of 720m in opposite direction. The speeds of A and B are 35m/s and 10m/s respectively. At how many distinct points will the two meet each other?
Options are: 9, 5, 7 or 8?
Options are: 9, 5, 7 or 8?
Most Upvoted Answer
A and B start running simultaneously on a circular track of 720m in op...
**Problem Analysis:**
In this problem, we need to find the number of distinct points at which two runners, A and B, will meet each other on a circular track.
**Given Data:**
- Length of the circular track = 720m
- Speed of A = 35m/s
- Speed of B = 10m/s
**Approach:**
To solve this problem, we can consider the relative speed of A and B. Since they are running in opposite directions, we need to add their speeds to get the relative speed.
- Relative speed = Speed of A + Speed of B = 35m/s + 10m/s = 45m/s
Now, we need to find the time taken to cover the entire circular track. We can use the formula:
- Time = Distance / Speed = 720m / 45m/s = 16 seconds
This means that A and B will meet each other after every 16 seconds.
**Distinct Meeting Points:**
To find the number of distinct meeting points, we need to consider the number of complete rounds made by A and B during the given time.
- Number of rounds made by A = (Speed of A * Time) / Length of the track = (35m/s * 16s) / 720m = 0.7777...
Since A cannot complete a fraction of a round, we can consider that A completes 0 rounds.
Similarly,
- Number of rounds made by B = (Speed of B * Time) / Length of the track = (10m/s * 16s) / 720m = 0.2222...
Again, B cannot complete a fraction of a round, so we can consider that B completes 0 rounds as well.
Therefore, A and B do not complete any full rounds during the given time, which implies that they meet only at the starting point. Hence, there is only 1 distinct meeting point.
**Conclusion:**
The two runners, A and B, will meet each other at only 1 distinct point on the circular track.
In this problem, we need to find the number of distinct points at which two runners, A and B, will meet each other on a circular track.
**Given Data:**
- Length of the circular track = 720m
- Speed of A = 35m/s
- Speed of B = 10m/s
**Approach:**
To solve this problem, we can consider the relative speed of A and B. Since they are running in opposite directions, we need to add their speeds to get the relative speed.
- Relative speed = Speed of A + Speed of B = 35m/s + 10m/s = 45m/s
Now, we need to find the time taken to cover the entire circular track. We can use the formula:
- Time = Distance / Speed = 720m / 45m/s = 16 seconds
This means that A and B will meet each other after every 16 seconds.
**Distinct Meeting Points:**
To find the number of distinct meeting points, we need to consider the number of complete rounds made by A and B during the given time.
- Number of rounds made by A = (Speed of A * Time) / Length of the track = (35m/s * 16s) / 720m = 0.7777...
Since A cannot complete a fraction of a round, we can consider that A completes 0 rounds.
Similarly,
- Number of rounds made by B = (Speed of B * Time) / Length of the track = (10m/s * 16s) / 720m = 0.2222...
Again, B cannot complete a fraction of a round, so we can consider that B completes 0 rounds as well.
Therefore, A and B do not complete any full rounds during the given time, which implies that they meet only at the starting point. Hence, there is only 1 distinct meeting point.
**Conclusion:**
The two runners, A and B, will meet each other at only 1 distinct point on the circular track.
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A and B start running simultaneously on a circular track of 720m in opposite direction. The speeds of A and B are 35m/s and 10m/s respectively. At how many distinct points will the two meet each other?Options are: 9, 5, 7 or 8?
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A and B start running simultaneously on a circular track of 720m in opposite direction. The speeds of A and B are 35m/s and 10m/s respectively. At how many distinct points will the two meet each other?Options are: 9, 5, 7 or 8? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A and B start running simultaneously on a circular track of 720m in opposite direction. The speeds of A and B are 35m/s and 10m/s respectively. At how many distinct points will the two meet each other?Options are: 9, 5, 7 or 8? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B start running simultaneously on a circular track of 720m in opposite direction. The speeds of A and B are 35m/s and 10m/s respectively. At how many distinct points will the two meet each other?Options are: 9, 5, 7 or 8?.
A and B start running simultaneously on a circular track of 720m in opposite direction. The speeds of A and B are 35m/s and 10m/s respectively. At how many distinct points will the two meet each other?Options are: 9, 5, 7 or 8? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A and B start running simultaneously on a circular track of 720m in opposite direction. The speeds of A and B are 35m/s and 10m/s respectively. At how many distinct points will the two meet each other?Options are: 9, 5, 7 or 8? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B start running simultaneously on a circular track of 720m in opposite direction. The speeds of A and B are 35m/s and 10m/s respectively. At how many distinct points will the two meet each other?Options are: 9, 5, 7 or 8?.
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