Joey has a toy car that is a 1:64 scale model of an actual car. (In other words, the length of the actual car is 64 times as long as the length of the toy car.) Joey's toy car can go 5 feet per second. What is the equivalent speed in miles per hour for the actual car?
3.409091
To find the equivalent speed in miles per hour for the actual car, we need to determine the speed of the toy car in miles per hour and then scale it up to the actual car's size.
First, let's convert the speed of the toy car from feet per second to miles per hour.
There are 5280 feet in a mile and 3600 seconds in an hour.
To convert feet per second to miles per hour, we can use the following formula:
Miles per hour = (feet per second * 3600) / 5280
Let's substitute the value of 5 feet per second into the formula and calculate:
Miles per hour = (5 * 3600) / 5280
= 18000 / 5280
≈ 3.41 miles per hour
So, the toy car travels at approximately 3.41 miles per hour.
Now, since the toy car is a 1:64 scale model of the actual car, we need to scale up the speed by multiplying it by 64.
Actual car's speed = (toy car's speed) * 64
= 3.41 * 64
≈ 218.24 miles per hour
Therefore, the equivalent speed in miles per hour for the actual car is approximately 218.24 miles per hour.