jogging speed question

Question

A jogger begins her workout by jogging to the park, a distance of 8 miles. She then jogs home at the same speed, but along a different route. This return trip is 14 miles, and her time is one hour longer. Find her jogging speed.

Answer 1

Hello, Kyle,

A little table would work well to set up you problem.  Also, note that     

distance traveled= rate * time  or d=r*t,  and   r=d/t

 

d                  r         *      t                    Let t=time

8 mi          8 mi/t hours    t

14 mi        8 mi/t hours    (t+1)             (t+1)=original time plus 1 additional hour.

 

Their speeds or rates are the same as given in the problem.  However, it did take one hour longer for the return trip.

 

Q:  Find the jogger's speed or rate?  We need to find the value "t" before finding the speed.

Here is the setup:     14= (8/t) (t+1)     Solve for "t."  Then substitute the value for "t" into the rate  "8/t."  That will give you some answer in miles per hour.  I hope that I helped.  I will let you finish your problem.  Susan C.