Combined Work Rates and Equations

The video tutorial explains how to calculate the time it takes for Maria and Martin to paint a room together. Maria can paint a room in 2 hours, and Martin in 4 hours. Their rates are 1/2 and 1/4 of a room per hour, respectively. By setting up an equation with their combined rates, the tutorial demonstrates solving for the time it takes to paint the room together, which is 1 and 1/3 hours or 1 hour and 20 minutes.

If Maria can paint a room in 2 hours and Martin in 4 hours, what is the incorrect assumption about their combined painting time?

• It is the sum of their individual times.

• It is the average of their individual times.

• It is the product of their individual times.

• It is the difference of their individual times.

Tags

CCSS.HSF-LE.A.1B

What is Maria's painting rate in terms of room per hour?

• 1/2 room per hour

• 1/3 room per hour

• 1/4 room per hour

• 1 room per hour

Tags

CCSS.HSA.CED.A.3

What equation represents the combined painting effort of Maria and Martin?

• 2T + 4T = 1

• 1/2T + 1/4T = 1

• 1/2T + 1/4T = 2

• 2T + T = 1

Tags

CCSS.7.EE.B.4A

After clearing fractions, what is the simplified equation to solve for T?

• 2T + T = 4

• 3T = 4

• T = 4/3

• T = 3/4

Tags

CCSS.HSA.CED.A.1

How long does it take for Maria and Martin to paint the room together?

• 2 hours

• 1 hour and 30 minutes

• 1 hour and 20 minutes

• 1 hour and 15 minutes

Tags

CCSS.HSA.CED.A.1