The distance formula can be written as d=rt

Question

, 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 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.
Johan travels at a rate of 61.25 miles per hour.

Johan travels at a rate of 2 miles per hour.
Johan travels at a rate of 2 miles per hour.

Answer 1

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

Given:

• Distance \( d = 35 \) miles
• Time \( t = 1.75 \) hours

We can rearrange the formula to solve for the rate \( r \): \[ r = \frac{d}{t} \]

Now, we can substitute the values into the equation: \[ r = \frac{35 \text{ miles}}{1.75 \text{ hours}} \]

Calculating this gives: \[ r = 20 \text{ miles per hour} \]

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

Explanation:

To solve the problem, we tracked how far Johan traveled (35 miles) and the time it took him (1.75 hours). By dividing the distance by the time, we determined his average speed. The result of 20 miles per hour makes sense: he covers 20 miles in one hour and slightly less than that (15 miles) in the remaining time. Thus, the correct answer is:

Johan travels at a rate of 20 miles per hour.