The average speed you must run is 7.97 mph.
What is average speed?
The average speed of an object is the ratio of total distance traveled by the object to
Average speed = total distance / total time of motion
Total time of motion = total distance / average speed
total time = (18.5 + 5.5) / (14.5)
total time = 1.66 hours
time taken during the bicycle ride
t1 = 18.5 / 19.1
t1 = 0.97 hour
time taken during the run
t2 = 1.66 hr - 0.97 hr
t2 = 0.69 hr
Average speed during the run
v = 5.5 miles /0.69 hr
v = 7.97 mph
Thus, the average speed you must run is 7.97 mph.
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