I need help with a matrix problem. Question is in additional details.

Amanda, Bryce, and Corey enter a race in which they have to run, swim, and cycle over a marked course. Their average speeds are given in the table. Corey finishes first with a total time of 1 hr 41 min. Amanda comes in second with a time of 2 hr 18 min. Bryce finishes last with a time of 2 hr 44 min. Find the distance (in miles) for each part of the race.
Running Swimming Cycling
Amanda| 10 4 20 |
Bryce | 15/2 6 15 |
Corey | 15 3 40 |

I worked out your problem with a math program.
The result is a PDF file stored here...

https://docs.google.com/viewer?a=v&pid=e…

Hope this helps.