Mathematics: On their most recent 8-mile training run, Pepe averaged a speed of I of a mile in 4.5 minutes, while Paula averaged of a mile in 7.5 minutes. How many minutes did it take the faster runner to finish the 8 mile run?

-40x^3 -12xStep-by-step explanation:...

On their most recent 8-mile training run, Pepe averaged

sugar1014

16.03.2022

36 minutes

Step-by-step explanation:

Given that:

The length of run = 8 miles

Average speed of Pepe = 4.5 minutes per minute

Average speed of Paula = 7.5 minutes per minute

To find:

Minutes taken by the faster runner to finish the 8 mile run?

Solution:

First of all, let us have a look at the relation between Time and Speed.

$Speed = \dfrac{Distance}{Time}$

If the distance is a constant, then

$Speed \propto \dfrac{1}{Time}$

i.e. Speed is inversely proportional to time.

That means faster runner will take smaller amount of time.

So, faster runner is Pepe who is taking lesser time.

Time taken to complete 1 mile = 4.5 minutes

Time taken to complete 8 miles = 4.5 $\times$ 8 minutes = 36 minutes

So, the faster runner i.e. Pepe takes 36 minutes.

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