Running Around

Strategies and Hints

Each track is to be 440 yards, so the following equations can be written and solved. For the inner track:

15 + y + 10 + y + 10 + y + 10 + y + 10 + y + 10 + y + 15 + 50 = 440

6y + 130 = 440
6y = 310
y = 51 yd

For the outer track:

15 + 15 + y + 15 + x + 10 + x + 10 + x + 10 + x + 10 + x
+ 10 + x + 10 + x + 10 + x + 15 + y + 15 + 15 + 70 = 440

2y + 8x + 230 = 440
          y + 4x = 105

But, y = 51, so
51 + 4x = 105
          x = 13 yd.