Suppose you have entered a 42-mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is 5 miles per hour, and during your bicycle race, your average velocity is 27 miles per hour. You finish the race in 4 hours. What is the distance of the run? What is the distance of the bicycle race?

Respuesta :

The distance of the running is 15 miles and the distance of the bicycling is 27 miles.

According to the statement

We have to find that the distance of the run and the bicycle race.

So, For this purpose, we know that the

The distance between two points is the length of the path connecting them.

From the given information:

you have entered a 42-mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is 5 miles per hour, and during your bicycle race, your average velocity is 27 miles per hour. You finish the race in 4 hours.

Then

Total distance of the race = 42 miles

The average velocity of the running = 5 miles per hour

The average velocity of the bicycling = 27 miles per hour

Then

If let he covers 27 miles with the cycles then

The distance he runs = 42-27

The distance he runs = 15.

Then it means he runs for a 3 hours.

So, The distance of the running is 15 miles and the distance of the bicycling is 27 miles.

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