Question

The distance formula can be written as d=rt , where d= distance traveled, r= the rate of speed, and t= the length of time traveled. Johan travels 35 miles by bicycle in 1.75 hours. What is Johan’s rate of speed in miles per hour? Explain the solution to the real-world problem.(1 point) Responses Johan travels at a rate of 10 miles per hour. Johan travels at a rate of 10 miles per hour. Johan travels at a rate of 2 miles per hour. Johan travels at a rate of 2 miles per hour. Johan travels at a rate of 61.25 miles per hour. Johan travels at a rate of 61.25 miles per hour. Johan travels at a rate of 20 miles per hour.

Answer 1

To find Johan's rate of speed in miles per hour, we can use the distance formula \( d = r \times t \), where:

- \( d \) is the distance traveled,
- \( r \) is the rate of speed, and
- \( t \) is the length of time traveled.

In Johan's case:

- \( d = 35 \) miles,
- \( t = 1.75 \) hours.

We need to solve for \( r \), so we can rearrange the formula to:

\[
r = \frac{d}{t}
\]

Now, we can plug in the values for distance and time:

\[
r = \frac{35 \text{ miles}}{1.75 \text{ hours}}
\]

Next, we perform the division:

\[
r = 20 \text{ miles per hour}
\]

Thus, Johan travels at a rate of **20 miles per hour**.

In conclusion, the correct response is: **Johan travels at a rate of 20 miles per hour**.