Mathematics: Anne is running on a trail at an average speed of 6 miles per hour beginning at mile marker 4. John is running on the trail at the constant speed, shown in the table. How can you determine who is running faster? Table Time (hours) x: 0, 0.5, 1, 1.5 Mile Marker, y: 1, 4.5, 8, 11.5

Anne is running on a trail at an average speed

Alayna1037

11.02.2022

John is running faster.

Step-by-step explanation:

Given that:

Average Speed of Anne = 6 miles per hour

Speed of John can be represented in the table below:

$\begin{center}\begin{tabular}{ c c}Time (hours) x & Mile Marker y \\ 0 & 1 \\ 0.5 & 4.5 \\ 1 & 8 \\ 1.5 & 11.5 \\\end{tabular}\end{center}$

To find:

Who is running faster of the both i.e. Anne and John?

Solution:

Here, to find the faster runner we can compare the average speed of both the runners.

We are given that, average speed of Anne = 6 miles per hour

We will have to calculate the average speed of John to find the faster runner.

Average speed can be calculated by dividing the total distance traveled with the total time taken.

Total distance traveled by John = 11.5 - 1 = 10.5 miles

Total time taken by John = 1.5 hours

Average speed of John = $\frac{10.5}{1.5} = 7\ miles/hr$

Clearly Average speed of John is greater than that of Anne's.

Therefore, John runs faster.

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