Hard word problem

[kbr]

The problem is: During a girl's workout, she ran for 3 miles, decreased her pace by 1 mile per hour, and ran for another 4 miles. If her total workout time was 1 hour and 3/5, what were her two speeds?

What I've done is lay out my facts
I know distance = rate x time

distances are 3 miles and 4 miles, rate for 3 mile part is x, rate for 4 mile part would be x-1
But I do not know what exactly the times are for each part of the workout and how to set up the equation. Help! Thanks!

 

[wjm11]

The problem is: During a girl's workout, she ran for 3 miles, decreased her pace by 1 mile per hour, and ran for another 4 miles. If her total workout time was 1 hour and 3/5, what were her two speeds?

What I've done is lay out my facts
I know distance = rate x time

distances are 3 miles and 4 miles, rate for 3 mile part is x, rate for 4 mile part would be x-1
But I do not know what exactly the times are for each part of the workout and how to set up the equation. Help! Thanks!

Rearrange your distance equation to solve for time: t = d/r; t1 = 3/x; t2 = 4/(x-1)

What else do we know? (Hint: total time)

Set up a system of equations and solve.