Question

Alexis can run 5/2 miles in 1/4hrs. What is her speed in miles per hour?

Answer 1

The speed would
`10~\text{mph}`.

Explanation:

Step 1: State the formulas required

The formula for speed is:

`\text{Speed}=\frac{\text{Distance}}{\text{Time}}`

Step 2: Substitute the values into the formula

The distance is
`(5)/(2)~\text{miles}` and the time is
`(1)/(4)~\text{hours}`.

Substitute these values into the formula:

`\text{Speed}=\frac{\text{Distance}}{\text{Time}}\\\text{Speed}=((5)/(2))/((1)/(4))\\`

Step 3: Calculate

`\text{Speed}=((5)/(2))/((1)/(4))\\\\\text{Speed}={(5)/(2)}/ {(1)/(4)}\\\\\text{Speed}={(5)/(2)}* 4\\\\\text{Speed}={(20)/(2)}\\\\\text{Speed}=10`

So, the speed is
`10~\text{miles per hour}` or
`10~\text{mph}`.

Answer 2

We are given

Distance = 5/2 miles

Time = 1/4 hours