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 hours 45minutes, Amanda comes in second with a time of 2 hours 30 minutes, and Bryce finishes last with a time of 3 hours. Find the distance (in miles) for each part of the race.(hint: use the motion formula d=rt)
amandas time 10 running, 4 swimming, and 20 cycling
Bryce 7.5, 6,and 15
corey 15, 3,40

a. write the system of equations

b.set up the matrix equations AX=B and solve it

Question

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 hours 45minutes, Amanda comes in second with a time of 2 hours 30 minutes, and Bryce finishes last with a time of 3 hours. Find the distance (in miles) for each part of the race.(hint: use the motion formula d=rt)
amandas time 10 running, 4 swimming, and 20 cycling
Bryce 7.5, 6,and 15
corey 15, 3,40

a. write the system of equations

b.set up the matrix equations AX=B and solve it