Question

At a theme park, the waiting time for the roller coaster is usually 3 times as long as the waiting time for the bumper cars. The park's website says that visitors who go on both rides should expect to wait a total of 30 min. What is the usual waiting time for the bumper cars? Show your work.​

Answer 1

Using a system of equations, it is found that the usual waiting time for the bumper cars is of 7.5 min.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

• Variable x: Waiting time for roller coaster.

• Variable y: Waiting time for bumper cars.

The waiting time for the roller coaster is usually 3 times as long as the waiting time for the bumper cars, hence:

x = 3y

The park's website says that visitors who go on both rides should expect to wait a total of 30 min, hence:

x + y = 30

Since x = 3y:

3y + y = 30

4y = 30

y = 30/4

y = 7.5.

The usual waiting time for the bumper cars is of 7.5 min.

More can be learned about a system of equations at brainly.com/question/24342899