Work Rate and Time Problems

The video tutorial covers work rate problems, starting with an introduction to setting up jobs per time. It explains how to calculate the total rate by summing individual rates. The first example involves a cousin helping to refinish a table, demonstrating how to find individual work rates. The second example uses a real-life scenario of a slow-draining sink to illustrate rate calculations. The tutorial emphasizes understanding the relationship between individual and combined rates in problem-solving.

What is the first step in solving a work rate problem?

• Multiply rates by time

• Calculate the total time taken

• Find the common denominator

• Set up jobs per time

How do you find the total rate in a work rate problem?

• Add individual rates

• Multiply individual rates

• Subtract individual rates

• Divide individual rates

In the cousin problem, what is the job being completed?

• Refinishing a table

• Building a house

• Cleaning a room

• Painting a wall

If your cousin can complete a job in 4 hours, how do you represent your unknown time to complete the same job?

• X

• Y

• W

• Z

What is the common denominator used in solving the cousin problem?

• 12

• 10

• 8

• 6

How long does it take you to refinish the table alone according to the solution?

• 12 hours

• 14 hours

• 10 hours

• 8 hours

What real-life example is used to explain the work rate problem?

• Cleaning a pool

• Watering a garden

• Draining a sink

• Filling a bathtub

How long does it take for the sink to fill with the drain closed?

• 27 seconds

• 30 seconds

• 60 seconds

• 54 seconds

What is the common denominator used in solving the sink problem?

• 108

• 27

• 81

• 54

How long does it take for the sink to drain according to the solution?

• 81 seconds

• 27 seconds

• 54 seconds

• 108 seconds