Colleen and Jacob's Relay Race

The video tutorial explains how to solve a relay race problem involving Colleen and Jacob. Colleen runs twice as far as Jacob, and together they cover 27 miles. The tutorial defines variables for their distances, sets up a system of equations, and solves it using substitution. The solution is verified to ensure it satisfies the given conditions.

What is the total distance that Colleen and Jacob run together?

• 45 miles

• 36 miles

• 27 miles

• 18 miles

If 'c' represents the distance Colleen runs, what does 'J' represent?

• The distance both run together

• The distance Colleen runs

• The distance Jacob runs

• The total distance

What equation represents the relationship between Colleen's and Jacob's distances?

• c = J

• c = 2J

• c + J = 2

• c - J = 27

What method is used to solve the system of equations in this problem?

• Substitution

• Elimination

• Graphing

• Trial and Error

After substituting 2J for C, what is the resulting equation?

• C = 27

• 2J = 27

• J = 27

• 3J = 27

How far does Jacob run in the relay race?

• 27 miles

• 18 miles

• 36 miles

• 9 miles

What is the next step after finding Jacob's distance?

• Calculate Colleen's distance

• Verify the solution

• Check the total distance

• Recalculate Jacob's distance

How far does Colleen run in the relay race?

• 27 miles

• 18 miles

• 36 miles

• 9 miles

Which equation verifies the solution is correct?

• 18 = 2 * 9

• 18 + 9 = 36

• 9 = 2 * 18

• 27 = 2 * 9

What is the purpose of verifying the solution?

• To solve a different problem

• To ensure the solution satisfies both equations

• To change the variables

• To find a new solution