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In a biathalon race you first ride a bicycle at an average speed of 19.1 mi/h for 18.5 miles, then you must run for another 5.5 miles. With what average speed, in miles per hour, must you run if your average speed for the entire race is to be 14.5 mi/h?

In A Biathalon Race You First Ride A Bicycle At An Average Speed Of 191 Mih For 185 Miles Then You Must Run For Another 55 Miles With What Average Speed In Mile class=

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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.

Learn more about average speed here: https://brainly.com/question/4931057

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