Work Rate and Collaboration Problems

This video tutorial explains how to solve a work rate problem involving two individuals, Joe and Sam, who paint a house at different rates. The tutorial begins by introducing the basic equation for work rate problems: rate times time equals the amount of work done. It then sets up the problem by determining the individual rates of Joe and Sam. The video proceeds to solve the problem by combining their rates to find out how long it takes them to paint the house together. The tutorial concludes with a final calculation and explanation of the solution.

What is the basic equation used in work rate problems?

• Rate - Time = Amount of Work

• Rate / Time = Amount of Work

• Rate + Time = Amount of Work

• Rate * Time = Amount of Work

How can you find the rate of work from the equation Rate * Time = Amount of Work?

• Divide both sides by Time

• Multiply both sides by Time

• Add Time to both sides

• Subtract Time from both sides

What is the combined equation for Joe and Sam's work rate?

• 1/6 - 1/8 = 1

• 1/6 * 1/8 = 1

• 1/6 + 1/8 = 1

• 1/6 / 1/8 = 1

If Joe can paint a house in 6 hours, what is his rate of work?

• 1/6 of a house per hour

• 6 houses per hour

• 1 house per 6 hours

• 6 hours per house

If Sam can paint a house in 8 hours, what is his rate of work?

• 1/8 of a house per hour

• 8 houses per hour

• 8 hours per house

• 1 house per 8 hours

What is the total work that Joe and Sam need to complete together?

• 1 house

• 3 houses

• 4 houses

• 2 houses

How do you solve for the time it takes Joe and Sam to paint the house together?

• Add their rates and set equal to 1

• Subtract their rates and set equal to 1

• Multiply their rates and set equal to 1

• Divide their rates and set equal to 1

What is the common denominator used to solve the equation for Joe and Sam's combined work rate?

• 12

• 24

• 18

• 30

What is the final time it takes for Joe and Sam to paint the house together?

• 3.75 hours

• 4 hours

• 3.5 hours

• 3 hours