SOLUTION: A jogger begins her workout by jogging 7 miles to the park. She takes an alternate route home that takes an hour longer and is a total of 14 miles. Of she jogs at the same pace wha

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Question 1077421: A jogger begins her workout by jogging 7 miles to the park. She takes an alternate route home that takes an hour longer and is a total of 14 miles. Of she jogs at the same pace what is her speed?
Found 2 solutions by ankor@dixie-net.com, josgarithmetic:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A jogger begins her workout by jogging 7 miles to the park.
She takes an alternate route home that takes an hour longer and is a total of 14 miles.
If she jogs at the same pace what is her speed?
:
let s = the jogging speed
:
Write a time equation; time = dist/speed
14 mi time - 7 mi time = 1 hr
14%2Fs - 7%2Fs = 1
multiply equation by s
14 - 7 = 1s
s = 7 mph is her speed
;
:
Confirm this find the actual time each way
14/7 = 2 hrs
7/7 = 1 hr
----------------
dif: 1 hr

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
                 SPEED    TIME     DISTANCE
Short route        r        t        7
Longer route       r       t+1      14


system%28r%28t%2B1%29=14%2Cand%2C+rt=7%29

rt%2Br=14
7%2Br=14
r=14-7
highlight%28r=7%29