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