Combined Work Rates and Rates of Work

The video tutorial covers solving word problems that lead to rational equations. It begins with an introduction to rational equations and proceeds with four examples. The first example involves John and Peter working together to complete a task. The second example deals with Chris and Tim mowing a lawn, requiring conversion of mixed numbers to improper fractions. The third example involves calculating the rate of a second person in a cleaning task. The final example features Jack and Jill, where Jack works faster than Jill. Each example demonstrates solving rational equations by eliminating denominators and finding common solutions.

What is the first step in solving a rational equation?

• Add all terms together

• Eliminate the denominators

• Divide by the largest denominator

• Multiply by the smallest denominator

If John can complete a task in 5 hours and Peter in 4 hours, what is their combined rate of work?

• 1/4

• 1/5

• 1/20

• 1/9

How do you find the combined work rate of two people working together?

• Subtract their individual rates

• Add their individual rates

• Multiply their individual rates

• Divide their individual rates

What is the approximate time it takes for John and Peter to finish the job together?

• 4 hours

• 2.22 hours

• 3.5 hours

• 5 hours

How do you convert a mixed number to an improper fraction?

• Multiply the whole number by the denominator and add the numerator

• Add the whole number to the numerator

• Multiply the whole number by the numerator

• Divide the whole number by the denominator

What is the rate of Chris if he can mow the lawn in 3.5 hours?

• 1/3.5

• 2/7

• 1/2

• 7/2

If Tim can finish a job in 2.75 hours, what is his rate of work?

• 2.75/1

• 1/2.75

• 11/4

• 4/11

What is the combined rate of Chris and Tim working together?

• 1/7

• 1/4

• 1/2

• 1/X

How long will it take Chris and Tim to finish the job together?

• 1.54 hours

• 2 hours

• 3 hours

• 4 hours

If one person can clean a house in 5 hours, what is their rate of work?

• 2/5

• 1/2

• 5/1

• 1/5