How Do Jane and Terry Divide 10.35 Miles of Treadmill Exercise in 3.5 Hours?

[DawnC]

This problem has me stumped

Jane and Terry used two different treadmills to exercise. The total distance waled between them was 10.35 miles. Jane waled at a pace of 4.9 per hour and Terry walked the pace of 4.5 per hour. Their total time as 3.5 hours.

This is how I would set it up, but not sure if it is correct

Jane - Rate = x, Time = 1, Distance = 4.9
Terry - Rate = x, time = 1, Distance = 4.5

After this - if this set-up is correct - I get lost in what to do next...

 

[Nono713]

I am also lost as to what to do next, because there is no question mark in your post... can you post the entire problem?

 

[DawnC]

I am also lost as to what to do next, because there is no question mark in your post... can you post the entire problem?

Sorry - The question is : How long did each person spend on their treadmill?

 

[MarkFL]

Distances are in miles and time is in hours.

For Jane we have:

\(\displaystyle d_J=4.9t_J\)

And for Terry we have:

\(\displaystyle d_T=4.5t_T\)

We are also given:

\(\displaystyle d_J+d_T=10.35\)

\(\displaystyle t_J+t_T=3.5\)

You can use the latter two equations to express both of the first two equations in terms of one person. At this point you will have two equations and two unknowns...can you proceed?

 

[DawnC]

Thank you