# Time and distance problem.

• Dec 1st 2012, 09:46 PM
hisajesh
Time and distance problem.
If A and B are running in a circular track in a direction opposite to that in which C is running, who is running at twice and thrice the speeds of A and B respectively and on the same track. They start running from a same point. It is knows that A' average speed is 3 m/s and the track is 120m. When, after the start, will B find himself equidistant and between A and C for the first time?
• Dec 2nd 2012, 09:59 AM
topsquark
Re: Time and distance problem.
Quote:

Originally Posted by hisajesh
If A and B are running in a circular track in a direction opposite to that in which C is running, who is running at twice and thrice the speeds of A and B respectively and on the same track. They start running from a same point. It is knows that A' average speed is 3 m/s and the track is 120m. When, after the start, will B find himself equidistant and between A and C for the first time?

To start with, can you put this question in the form of, not speeds, but angular speed?

-Dan
• Dec 4th 2012, 08:55 AM
hisajesh
Re: Time and distance problem.
Sorry, I dont have data on angular speeds.
• Dec 4th 2012, 10:49 AM
topsquark
Re: Time and distance problem.
Quote:

Originally Posted by hisajesh
Sorry, I dont have data on angular speeds.

It's easy. You have the linear speeds (well, they're unknowns, but you know what I mean.) For any object moving in a circular path at speed v we know that $v = r \omega$ where $\omega$ is your angular speed,

-Dan