Question

Every day, you run 5 miles in 40 minutes. Your friend runs
8 miles everyday at the same pace (speed) as you. For how
long is your friend’s run ?

Answer 1

Final Answer:

The time taken by the friend to run 8 miles every day at the same speed at which it takes 40 minutes every day to run 5 miles, is 64 minutes.

Given:

It takes 40 minutes every day to run 5 miles.

The friend runs 8 miles every day at the same pace (speed).

To Find:

The time taken by the friend to run 8 miles every day at the same speed at which it takes 40 minutes every day to run 5 miles is to be calculated.

Explanation:

The concept of speed is helpful here in figuring out the solution to this problem.

The speed of a person is calculated by the total distance travelled divided by the time taken by the person.

So, the time taken by the person is equal to the total distance travelled by the person divided by the speed.

Step 1 of 2

As per the given statement in the problem, the speed when it takes 40 minutes every day to run 5 miles is

$=\frac{5}{40} \\\\=\frac{1}{8}\;miles/min$

Step 2 of 2

Using the above information, the time taken by the friend running 8 miles every day at the same speed calculated above is

$=8\div\frac{1}{8}\\=8\times 8\\=64\;mins$

Therefore, the required correct answer is the time duration of 64 minutes.

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