Precalc question

Question

George and Paula are running around a circular track. George starts at the westernmost point of the track, and Paula starts at the easternmost point. The illustration below shows their starting positions and running directions. They start running toward each other at constant speeds. George runs at 9 feet per second. Paula takes 50 seconds to run a lap of the track. George and Paula pass each other after 11 seconds. After running for 3 minutes, how far east of his starting point is George?

Answer is 105.2718216 feet but I don't know how to solve this question.

Answer 1

Well there is not illustration below. So make one.

This is an exercise in logic more than an mathematical one.

In 11 sec George travels 99'. In 11 sec Paula travels 11 / 50 of the Circumference

Now 99' and (11 / 50) C is equal to one-half of the circumference.

(11/50)C + 99 = (1/2)C

99 = (14/50)C

450 = C

After 3 min George travels 1,620'

1620 / 450 = 3.6

George does three laps and 270'