Question

To prepare for a marathon run Sue ran 16 miles before she blistered her heel, and she walked 1 additional mile. Her running speed was 16 times as fast as her walking speed. She was running and walking for 4 hours. FIND Sues running speed.

Answer 1

8 miles per hour

Explanation:

Let s represent Sue's running speed in miles per hour. Then her total exercise time was ...

time = distance/speed

4 = (16/s) + (1/(s/16)) . . . . . using distance in miles and time in hours

4 = 16/s +16/s = 32/s . . . . simplify

s = 32/4 = 8 . . . . . . . . . . . multiply by s/4

Sue's running speed was 8 miles per hour.