Work Rates and Rational Expressions

Drew Moyer explains the practical application of rational expressions through a work problem involving Tom and Jerry washing a car. Tom takes 45 minutes, and Jerry takes 30 minutes to wash a car individually. The video demonstrates setting up and solving an equation to find out how long it takes them to wash a car together, resulting in 18 minutes. The process involves using work rates, time, and rational expressions to solve the problem.

What is one of the practical applications of rational expressions in real life?

• Calculating interest rates

• Solving work problems

• Predicting weather patterns

• Designing buildings

In the work problem, how long does it take Tom to wash a car alone?

• 60 minutes

• 90 minutes

• 30 minutes

• 45 minutes

How long does it take Jerry to wash a car by himself?

• 20 minutes

• 35 minutes

• 25 minutes

• 30 minutes

What is the work rate of Tom in terms of cars per minute?

• 1/90

• 1/30

• 1/60

• 1/45

What is Jerry's work rate in terms of cars per minute?

• 1/25

• 1/20

• 1/30

• 1/35

What variable is used to represent the time Tom and Jerry work together?

• Z

• T

• X

• Y

What equation represents the total work done by Tom and Jerry together?

• X/45 + X/30 = 1

• X/30 + X/45 = 1

• X/45 + X/60 = 1

• X/30 + X/60 = 1

What is the first step in solving the equation for X?

• Subtract fractions

• Divide both sides by 5

• Multiply both sides by 90

• Add fractions

What does the equation 5X = 90 represent in the context of the problem?

• The combined time taken by Tom and Jerry

• The number of cars washed

• The total time taken by Jerry alone

• The total time taken by Tom alone

How long will it take Tom and Jerry to wash one car together?

• 15 minutes

• 18 minutes

• 20 minutes

• 25 minutes