Cori's Journey: Speed and Distance

The video tutorial explains how to calculate average speed for different modes of transportation using rational equations. It reviews the distance formula and demonstrates solving rational equations by multiplying both sides by the least common denominator. An example problem involving a skateboard and a bicycle is used to illustrate the process of setting up and solving a rational equation to find average speeds. The solution is verified, and the average speeds for both modes of transportation are determined.

What is the formula for calculating distance?

• d = r + t

• d = r/t

• d = rt

• d = r - t

When solving a rational equation, why is it important to multiply by the least common denominator?

• To change the equation's variables

• To eliminate fractions

• To simplify the equation

• To increase the equation's complexity

In the example of Cori's journey, what was the distance she traveled to her friend's house?

• 48 miles

• 12 miles

• 24 miles

• 36 miles

How is the speed of the bicycle defined in terms of the skateboard's speed?

• Three times the speed of the skateboard

• Half the speed of the skateboard

• Equal to the speed of the skateboard

• Twice the speed of the skateboard

What equation represents the time difference between Cori's skateboard and bicycle trips?

• 24/x + 24/2x = 2

• 24x - 24/2x = 2

• 24/x - 24x = 2

• 24/x - 24/2x = 2

What is the least common denominator used to solve the equation for Cori's journey?

• 4x

• 3x

• 2x

• x

After solving the equation, what is the speed of Cori's skateboard?

• 4 miles per hour

• 5 miles per hour

• 6 miles per hour

• 7 miles per hour

What is the speed of Cori's bicycle after solving the equation?

• 14 miles per hour

• 16 miles per hour

• 12 miles per hour

• 10 miles per hour

Why is it important to check the solution of a rational equation?

• To ensure the equation is balanced

• To simplify the equation further

• To verify the solution is correct

• To change the variables

What does the variable 'x' represent in the context of Cori's journey?

• The speed of the bicycle

• The distance traveled

• The time taken

• The speed of the skateboard