SOLUTION: A woman begins jogging at 3:00pm, running due north at a 6-minute-mile pace. Later, she reverses direction and runs due south at a 7 minute-mile pace. If she returns to her start

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Question 207480This question is from textbook Algebra and Trigonometry with analytic geometry
: A woman begins jogging at 3:00pm, running due north at a 6-minute-mile pace. Later, she reverses direction and runs due south at a 7 minute-mile pace. If she returns to her starting point at 3:45, find the total number of miles run.
I ahve tried using the formula time = dist/rate,letting x=distance. I plugged in 45=6x + 7x, but I got an irrational number (3.461...). Thanks in advance for any help! This question is from textbook Algebra and Trigonometry with analytic geometry

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
two comments

first ___ the number is not irrational, it is 45/13 (the ratio of two whole numbers)

second ___ x is the distance one-way ___ the total distance is 90/13