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.
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.
To find Johan's rate of speed in miles per hour, we can use the distance formula d = rt.
Given:
- Distance traveled = 35 miles (d)
- Time traveled = 1.75 hours (t)
First, we can substitute these values into the formula:
35 = r * 1.75
To solve for r (rate of speed), we need to isolate it on one side of the equation. Divide both sides of the equation by 1.75:
35 / 1.75 = r
This simplifies to:
20 = r
Therefore, Johan's rate of speed is 20 miles per hour.
In the real-world problem, Johan travels a distance of 35 miles by bicycle in 1.75 hours. By using the distance formula, we can determine his rate of speed, which is the number of miles he covers in one hour. In this case, Johan's rate of speed is 20 miles per hour. This means that he is able to cover a distance of 20 miles in one hour of travel time.