Rates and Common Denominators in Work Problems

Professor Perez from Sback College presents a video tutorial on solving word problems involving rational expressions. The video covers two main problems: one involving Charlie and Brandy painting rooms together, and another involving two pumps draining a pool. The tutorial explains how to set up equations using task rates and solve them by finding common denominators and clearing fractions. The video concludes with encouragement for students to continue practicing these types of problems.

What type of equations are being focused on in this video?

• Exponential equations

• Rational expressions

• Quadratic equations

• Linear equations

How long does it take Charlie to paint a room?

• 4 hours

• 6 hours

• 10 hours

• 8 hours

What is Brandy's rate of painting a room?

• 1 room per 5 hours

• 1 room per 4 hours

• 1 room per 3 hours

• 1 room per 2 hours

What is the combined task rate equation for Charlie and Brandy painting together?

• T/4 + T/6 = 1

• T/6 + T/4 = 2

• T/6 + T/4 = 1

• T/4 + T/6 = 2

What is the lowest common denominator used to solve the painting problem?

• 6

• 10

• 12

• 8

How long will it take both Charlie and Brandy to paint two rooms together?

• 4.8 hours

• 5.4 hours

• 3.4 hours

• 2.4 hours

How long does it take pump number one to drain a pool?

• 15 hours

• 8 hours

• 10 hours

• 12 hours

What is the rate of pump number two in draining the pool?

• 1 pool per 18 hours

• 1 pool per 10 hours

• 1 pool per 12 hours

• 1 pool per 15 hours

What is the total task for the Pool Man problem?

• 3/4 of the pool

• 1 whole pool

• 2/3 of the pool

• 1/2 of the pool

What is the lowest common denominator used to solve the Pool Man problem?

• 35

• 20

• 25

• 30