Distance, Rate, and Work Problems

The video tutorial covers two types of word problems involving rational equations: distance-rate-time problems and work-time problems. It explains how to set up and solve these problems using rational equations, emphasizing the importance of defining variables and understanding the relationship between distance, rate, and time. The tutorial also provides examples and hints for solving complex problems, preparing students for tests.

What are the two types of word problems discussed in the video?

• Linear and quadratic

• Probability and statistics

• Algebraic and geometric

• Distance-rate-time and work-time

In the boat problem, what is the speed of the current?

• 3 mph

• 5 mph

• 7 mph

• 10 mph

What variable is used to represent the speed of the boat in still water?

• y

• z

• x

• w

How do you determine the rate of the boat going upstream?

• Subtract the speed of the current from the boat's speed

• Multiply the boat's speed by the current's speed

• Divide the boat's speed by the current's speed

• Add the speed of the current to the boat's speed

What is the equation used to relate distance, rate, and time?

• D = R + T

• D = R - T

• D = R * T

• D = R / T

In the work-time problem, how long does it take Kent to paint the room alone?

• 5 hours

• 4 hours

• 7 hours

• 6 hours

How much of the job does Kendra finish in one hour?

• 1/2

• 1/3

• 1/6

• 1/4

What is the LCD used to solve the work-time problem involving Kent and Kendra?

• 10x

• 8x

• 12x

• 6x

In the problem with Marco and Cliff, how much faster is Marco compared to Cliff?

• Twice as fast

• Equally fast

• Half as fast

• Three times as fast

How long does it take Marco and Cliff to build a laptop together?

• 6 hours

• 4 hours

• 5 hours

• 3 hours