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.

Answer 1

To find Johan's rate of speed in miles per hour, we need to use the distance formula, which is d = rt. In this case, we are given that Johan travels 35 miles (d) in 1.75 hours (t).

We can substitute the given values into the formula: 35 = r * 1.75.

To find r (Johan's rate of speed), we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 1.75: 35/1.75 = r.

The result is r = 20 miles per hour. This means that Johan's rate of speed is 20 miles per hour.

In terms of the real-world problem, this means that Johan is able to travel 20 miles in 1 hour. It gives us an understanding of the speed at which Johan can travel on his bicycle.