SOLUTION: a jogger runs a distance at a speed of 8 miles per hour and Returns the same distance running at a speed of 6 miles per hour. Find the total distance that the jogger runs if the to
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Question 987095: a jogger runs a distance at a speed of 8 miles per hour and Returns the same distance running at a speed of 6 miles per hour. Find the total distance that the jogger runs if the total time running was one hour forty-five minutes Found 2 solutions by josgarithmetic, MathTherapy:Answer by josgarithmetic(39620) (Show Source):
WHICHWAY speed time distance
going
returning
TOTAL
The distance going is the same as the distance returning so you have two equations.
The unknown variables used are and for going and returning times, in that order. Solve, and user either direction's distance expression to find the one-way distance.
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a jogger runs a distance at a speed of 8 miles per hour and Returns the same distance running at a speed of 6 miles per hour. Find the total distance that the jogger runs if the total time running was one hour forty-five minutes
Let one-way distance be D
Then time taken to run the distance at 8 mph =
Time taken to run the distance at 6 mph =
Total time taken for the round-trip: 1 hr, 45 mins, or , or . or hours
We then get:
3D + 4D = 42 -------- Multiplying by LCD, 24
7D = 42
D, or one-way distance = , or 6 miles
Round-trip distance, or total distance traveled: 2(6), or miles
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