How Long Before Runners A and B Meet at the Starting Point on a Circular Track?

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SUMMARY

The discussion centers on calculating the time it takes for runners A and B to meet at the starting point on a circular track with a circumference of 100 meters. Runner A runs at a speed of 3 m/sec, while runner B runs at 1 m/sec. The relative speed between the two runners is 2 m/sec, leading to the conclusion that runner B will take 100 seconds to complete one lap, during which runner A completes three laps. Therefore, the time for both runners to meet at the starting point for the first time is 100 seconds.

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Homework Statement
What is the time taken by A & B to reach starting point for first time?
Relevant Equations
Relative speed = 3-1; 1m/sec since it is same direction.
Circular track: Both are in same direction.A = 3m/sec, B = 1 m/sec. Circumference of track= 100m.

What is the time taken by A & B to reach starting point for first time?
 
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Benjamin_harsh said:
Homework Statement: What is the time taken by A & B to reach starting point for first time?
Homework Equations: Relative speed = 3-1; 1m/sec since it is same direction.

Circular track: Both are in same direction.A = 3m/sec, B = 1 m/sec. Circumference of track= 100m.

What is the time taken by A & B to reach starting point for first time?
Let's see your attempt at a solution.
Also, please give some meaningful equations, and/or definitions.
 
SammyS said:
Also, please give some meaningful equations, and/or definitions.
... and a clearer problem statement.
Benjamin_harsh said:
What is the time taken by A & B to reach starting point for first time?
Is this asking how long will it take for both A and B to cross the finish line at the same time?
 
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I guess we also assume both A, B run a circle of equal perimeter? These tracks usually have concentric rings and outer rings have larger perimeters than inner ones.
 
B moves at 1 m/sec.

The track is 100 m in length. T =100/1 = 100 sec for B to complete one lap on the track.

In that time, A will complete 3 laps.

So answer will be 100 sec?
 
Just to clarify a bit more. You want to see when they will meet/coincide in the starting line?
 
WWGD said:
You want to see when they will meet/coincide in the starting line?
Give me answers in both cases: meet/coincide in the starting line
 
Benjamin_harsh said:
Give me answers in both cases: meet/coincide in the starting line
No, that's not what we do here. Providing complete answers to posted homework questions is against the rules at this site.

Since you still haven't given us a clear explanation of what the problem is asking for, I am closing this thread. Please start a new thread with a clear problem statement.
 
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