SOLUTION: A jogger runs a distance at a speed of 8mph and returns the same distance running at a speed of 6mph. Find the total distance that the jogger runs if total time running is 1 hour a

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Question 202145: A jogger runs a distance at a speed of 8mph and returns the same distance running at a speed of 6mph. Find the total distance that the jogger runs if total time running is 1 hour and 45 min.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use 2 distance formulas
d+=+r%5B1%5D%2At%5B1%5D
and
d+=+r%5B2%5D%2At%5B2%5D
given:
r%5B1%5D+=+8 mi/hr
r%5B2%5D+=+6 mi/hr
t%5B1%5D+%2B+t%5B2%5D+=+7%2F4 hr
d+=+8%2At%5B1%5D
d+=+6%2At%5B2%5D
and
t%5B1%5D+=+d%2F8
t%5B2%5D+=+d%2F6
t%5B1%5D+%2B+t%5B2%5D+=+d%2A%281%2F8+%2B+1%2F6%29
7%2F4+=+d%2A%281%2F8+%2B+1%2F6%29
Multiply both sides by n24
42+=+d%2A%283+%2B+4%29
d+=+42%2F7
d+=+6 mi
The total distance the jogger runs is 2d
2d+=+12 mi answer