Posted by **jordan** on Thursday, October 15, 2009 at 1:21pm.

Yesterday Lucy walked 2 hours and 1/2 jogged hour and covered 6.25 miles. Today she walked for 3 hours and jogged for 1 hour and covered 10.25 miles. Assuming a constant walking rate and a constant jogging rate, how fast did she walk and how fast did she jog? Define two variables, write a system of equations, and solve to find the walking rate and the jogging rate. Justify your answer by showing how you solved the problem.

w- walking j- jogging

2w + .5j= 6.25 --> 3(2w+.5j)= 3(6.25)

3w + 1j= 10.25 --> -2(3w+1j)= -2(10.25

6w + 1.5j= 18.75

-6w - 2j= -20.50

-----------------

-.5j=-1.75

j=.3

2w + .5(.3)= 6.25

2w + 15= 6.25

2w= 6.10 w= 3.05

check:

2(3.05) + .5(.3)= 6.25 (correct)

3(3.05) + 1(.3)= 9.45(wrong!!) it should be 10.25.

- 11th grade -
**bobpursley**, Thursday, October 15, 2009 at 1:22pm
since when is 1.75/5 = .3?

- 11th grade -
**jordan**, Thursday, October 15, 2009 at 1:26pm
-.5/1.75= -.2857...or .3

- 11th grade -
**bobpursley**, Thursday, October 15, 2009 at 1:28pm
Lord, Jordan.

you have a*x=b

then x= b/a NOT a/b

- 11th grade -
**bobpursley**, Thursday, October 15, 2009 at 1:29pm
I get 1.75/.5=3.5

check that.

- 11th grade -
**jordan**, Thursday, October 15, 2009 at 1:29pm
wow haha im lost...

6w + 1.5j= 18.75

-6w - 2j= -20.50

-----------------

-.5j=-1.75

j=.3

? why would i multiply?

- 11th grade -
**bobpursley**, Thursday, October 15, 2009 at 1:30pm
Jordan, this is pretty basic.

.5 j= 1.75

divide both sides by .5

j= 1.75/.5

- 11th grade -
**jordan**, Thursday, October 15, 2009 at 1:32pm
But, if i did get 3.5 that would mess up getting 6.25 or 10.25.

2(3.05) + .5(.3)= 6.25--correct.

3(3.05) + 1(.3)= 9.45... this is the one where i went wrong. i went wrong.

- 11th grade -
**bobpursley**, Thursday, October 15, 2009 at 1:36pm
You have a lot of problems. YOu solved j as 3.5 so now solve for w, you first answer is WRONG.

2w + .5(3.5)= 6.25 solve for w.

- 11th grade -
**bobpursley**, Thursday, October 15, 2009 at 1:37pm
Jordan, if you are in ALG II, I recommend a tutor before you get lost.

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