SOLUTION: You can jog at a speed of 8 miles per hour, and run at a speed of 12 miles per hour. If you traveled 6 miles in 40 minutes, find the amount of time you jogged as well as the amount

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You can jog at a speed of 8 miles per hour, and run at a speed of 12 miles per hour. If you traveled 6 miles in 40 minutes, find the amount of time you jogged as well as the amount      Log On


   

Question 349503: You can jog at a speed of 8 miles per hour, and run at a speed of 12 miles per hour. If you traveled 6 miles in 40 minutes, find the amount of time you jogged as well as the amount of time you ran.
I mainly just need to know how to set it up...
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
R%2At=D
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The two rates are the jogging rate, 8, and the running rate,12.
The two rates are the jogging time, t%5Bj%5D, and the running time,t%5Br%5D.
You know the total distance and the total time.
Total time:
Convert 40 minutes to hours to be consistent with the rate units.
1.t%5Bj%5D%2Bt%5Br%5D=40%2F60=2%2F3
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Distance:
8t%5Bj%5D%2B12t%5Br%5D=6
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2.4t%5Bj%5D%2B6t%5Br%5D=3
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You have two equations in two unknowns.
Use either substitution or elimination to solve.