SOLUTION: Here is the question: 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 jogg

Question 497677: Here is the question: 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.
Spent 3 days trying to figure this out.
Found 2 solutions by htmentor, Alan3354:
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Here is the question: 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.
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Given: jogging speed = 8 mph, running speed = 12 mph
Let t = the time spent jogging [in hours]
Then 2/3 - t = the time spent running [in hours]
Let d = the distance traveled jogging
Then 6 - d = the distance traveled running
For the jogging speed we can write:
8 = d/t [1]
And for the running speed we can write:
12 = (6-d)/(2/3-t) [2]
Solve for d in [1] and substitute into [2]:
12 = (6-8t)/(2/3-t)
Solve for t:
8 - 12t = 6 - 8t
4t = 2
t = 1/2
So the time spent jogging is 30 mins, the time spent running is 10 mins.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
40 minutes = 2/3 hours
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d = distance jogging
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d/8 + (6-d)/12 = 2/3 hours
times 48
6d + 4(6-d) = 32
2d + 24 = 32
2d = 8
d = 4 miles jogging
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2 miles running
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