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?

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

Re: Time and distance problem.

Sorry, I dont have data on angular speeds.

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 $\displaystyle v = r \omega $ where $\displaystyle \omega$ is your angular speed,

-Dan