SOLUTION: a long distance runner begins her workout by jogging to the park, a distance of 12 miles she then jogs home at the same speed but along a different route this trip is 18 miles and

Question 605219: a long distance runner begins her workout by jogging to the park, a distance of 12 miles she then jogs home at the same speed but along a different route this trip is 18 miles and her time is one hour longer. find her jogging speed.
Answer by alicealc(293) (Show Source): You can put this solution on YOUR website!
speed = distance/time

let the runner jogs to the park for t hours, with the distance of 12 miles
so the runner's speed = 12/t mph

when she jogs home at the same speed, her trip is 18 miles and her time is one hour longer:

12 * (t + 1) = 18 * t
12t + 12 = 18t
12 = 18t - 12t
12 = 6t
t = 12/6 = 2
the runner's speed = 12/t = 12/2 = 6 mph

so, the runner's speed is 6 miles per hour

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