Posted by **Lauren** on Tuesday, March 16, 2010 at 12:06am.

Erin takes a total of 5 hours in her boat to travel a distance upriver and return downriver the same distance. If the time traveling upriver is twice the time traveling downriver, how many hours does each trip take?

How do I put this into two equation and use the matrix to solve it?

- math -
**FredR**, Tuesday, March 16, 2010 at 3:45am
u = 2d

or

u - 2d = 0

u + d = 5

so the matrix would be

1 -2 0

1 1 5

add -1 times the 1st row to the 2nd row. Then you get

1 -2 0

0 3 5

multiply the 2nd row by 1/3:

1 -2 0

0 1 5/3

The 2nd row tells us that d = 5/3, so u = 10/3

- math -
**PsyDAG**, Tuesday, March 16, 2010 at 11:02am
I don't know about the matrix, but it is not necessary to solve the problem.

x = time traveling down river

2x = time traveling up river.

x + 2x = 5

3x = 5

x = 5/3 hour = 1 hour, 40 minutes

2x = ?

I hope this helps.

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