Conversion problem: kelly, John and Frank enter a race....

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medas

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kelly, John and Frank enter a race in which they have to run, swim and cycle over a marked course. Their average speeds are given in the table. Frank finishes first with a total time of 1h 45min . Kelly finishes second with a time of 2h 30min .John finishes last with a time of 3h . Find the distance (in miles) for each part of the race.

Code: 
	       Average speed in miles per hour

         Running       Swimming       Cycling
Kelly      10              4            20
John        7.5            6            15
Frank      15              3            40
my set up:
10x + 4y + 20z =2.5
7.5x + 6y + 15z = 3
15x + 3y + 40z = 1.75
how to solve this system
 
medas said:
my set up:
10x + 4y + 20z =2.5
7.5x + 6y + 15z = 3
15x + 3y + 40z = 1.75
Click to expand...
For what do your variables stand?

medas said:
how to solve this system
Click to expand...
To learn how to solve systems of linear equations, try here. :wink:
 
medas said:
kelly, John and Frank enter a race in which they have to run, swim and cycle over a marked course. Their average speeds are given in the table. Frank finishes first with a total time of 1h 45min . Kelly finishes second with a time of 2h 30min .John finishes last with a time of 3h . Find the distance (in miles) for each part of the race.

Code: 
	       Average speed in miles per hour

         Running       Swimming       Cycling
Kelly      10              4            20
John        7.5            6            15
Frank      15              3            40
my set up:
10x + 4y + 20z =2.5
7.5x + 6y + 15z = 3
15x + 3y + 40z = 1.75
how to solve this system
Click to expand...

What method/s have you been taught to solve such equations? Have you been taught Gauss Jordan elimination method?
 
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