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)

Question

Responses

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 20 miles per hour.
Johan travels at a rate of 20 miles per hour.

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 61.25 miles per hour.

Answer 1

To find Johan's rate of speed in miles per hour, we can use the distance formula \( d = rt \), where:

• \( d \) is the distance traveled (35 miles),
• \( r \) is the rate of speed (what we want to find),
• \( t \) is the time traveled (1.75 hours).

We can rearrange the formula to solve for \( r \):

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

Substituting in the known values:

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

Now, we perform the division:

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

Thus, Johan’s rate of speed is 20 miles per hour.

Explanation:

Johan covered a distance of 35 miles over a period of 1.75 hours. To find out how fast he was going on average, we divided the distance by the time taken, which gives us a speed of 20 miles per hour. This means that, on average, Johan traveled 20 miles for each hour he was biking.