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, we can use the formula d=rt. Given that Johan travels 35 miles in 1.75 hours, we can substitute d=35 and t=1.75 into the formula. This gives us:
35 = r * 1.75
To find r, we can divide both sides of the equation by 1.75:
35/1.75 = r
Dividing 35 by 1.75 gives us r=20.
Therefore, Johan's rate of speed is 20 miles per hour. This means that he can travel 20 miles in one hour.
The solution to the real-world problem is that Johan's rate of speed is 20 miles per hour. This means that he can cover a distance of 20 miles in one hour of travel.
To find Johan's rate of speed, we can use the distance formula d = rt, where d represents the distance traveled, r represents the rate of speed, and t represents the time taken.
Given that Johan travels 35 miles by bicycle in 1.75 hours, we can substitute these values into the distance formula.
d = rt
35 = r * 1.75
Now, we need to isolate r, which represents Johan's rate of speed.
Divide both sides of the equation by 1.75:
35 / 1.75 = r
20 = r
The rate of speed, or the speed at which Johan travels, is 20 miles per hour.
To explain the solution to the real-world problem, we can say that Johan's rate of speed, or how fast he is traveling on his bicycle, is 20 miles per hour. This means that for every hour of biking, he travels a distance of 20 miles.