After 10min at 20m/min, they have eached walked 10min*20m/min = 200m.



Let A denote Kim's final position

Let B denote Ken's final position

and C be the center of the circular track



Draw triangle ABC.  



The distance between Kim and Ken is |AB|

|AC| is just a radius, 600m

|BC| is just the radius minus the distance Ken traveled in towards the center:

    600m-200m = 400m 



We know Kim swept out an angle equal to x, where we can set up a proportion of her distance along the circumference with the total circumference:

   or  

    radians



Using the Law of Cosines:







Plug in all the values to get:

 ≈ 

 

RELATED QUESTIONS

Kim and Ken traveled at the same time at the rate of 20 m/min, from the same point on a... (answered by greenestamps)

Macmac and Jay traveled at the same time at the rate of 20 m/min, from the same point on... (answered by greenestamps)

Macmac and Jay traveled at the same time at the rate of 20 m/min, from the same point on... (answered by greenestamps)

Two persons start running simultaneously around a circular track of length 400 m from the  (answered by josgarithmetic)

Two turtles Ken and Ten start at the same time towards each other at a distance of 150m.... (answered by lwsshak3)

Two cyclists start on a circular track from a given point but in opposite directions with  (answered by stanbon)

Sharon runs a single lap on a track in 100 seconds. Jessica runs the same lap in 90... (answered by stanbon)

Water is leaking out of an inverted conical tank at a rate of 10000cm^3/min at the same... (answered by scott8148)

An automobile car traveled 200 miles and at same time a track can travel 150 miles .If... (answered by ankor@dixie-net.com)