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

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Homework Help Overview

The discussion revolves around determining the time it takes for two runners, A and B, to meet at the starting point on a circular track. Runner A travels at a speed of 3 m/sec, while runner B travels at 1 m/sec, with the track's circumference being 100 m.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the speeds of the runners and the implications of their relative motion. There is a question about whether the problem is asking for the time it takes for both runners to cross the finish line simultaneously. Some participants also consider the assumption that both runners are on tracks of equal perimeter.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the problem statement and exploring different interpretations of the question. Some have attempted to calculate the time based on the speeds and track length, while others emphasize the need for a clearer problem definition.

Contextual Notes

There is uncertainty regarding the exact nature of the problem being asked, particularly whether it pertains to both runners meeting at the starting line simultaneously or at different times. Additionally, the assumption about the track's perimeter being equal for both runners is under consideration.

Benjamin_harsh
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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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