Rates and Time in Work Problems

The video tutorial covers the application of rational equations through two main problems. The first problem involves calculating the time it takes for two people, Martin and Victor, to pour a concrete walkway together, given their individual work rates. The second problem addresses the scenario of an inlet and outlet pipe affecting the fill time of a tank. The video explains how to set up and solve these equations, emphasizing the importance of understanding work rates and the impact of combining efforts. The tutorial concludes with a brief mention of more challenging problems in the next video.

How long does it take Martin to pour the concrete walkway alone?

• 10 hours

• 6 hours

• 4 hours

• 8 hours

Tags

CCSS.HSA.CED.A.1

What is Victor's rate of work per hour when pouring the walkway alone?

• 1/5 of the job

• 1/3 of the job

• 1/4 of the job

• 1/2 of the job

What is the combined rate of Martin and Victor working together?

• 1/10 of the job per hour

• 1/3 of the job per hour

• 1/5 of the job per hour

• 1/12 of the job per hour

Tags

CCSS.4.MD.A.1

How many minutes is 0.4 hours equivalent to?

• 36 minutes

• 30 minutes

• 24 minutes

• 20 minutes

Tags

CCSS.HSA.CED.A.1

If Martin and Victor work together, how long will it take them to complete the job?

• 2 hours

• 3 hours 30 minutes

• 2 hours 24 minutes

• 3 hours

Tags

CCSS.HSA.CED.A.1

How long does it take the inlet pipe to fill the tank alone?

• 10 hours

• 12 hours

• 15 hours

• 20 hours

Tags

CCSS.HSA.CED.A.1

What is the rate of the outlet pipe draining the tank?

• 1/20 of the tank per hour

• 1/15 of the tank per hour

• 1/25 of the tank per hour

• 1/10 of the tank per hour

Tags

CCSS.HSA.REI.A.2

What is the least common denominator used to solve the equation for the inlet and outlet pipes?

• 30

• 40

• 50

• 60

Tags

CCSS.HSA.CED.A.1

How long will it take to fill the tank if both pipes are left open?

• 35 hours

• 25 hours

• 20 hours

• 30 hours

Tags

CCSS.HSA.CED.A.1

Why does it take longer to fill the tank when both pipes are open?

• The tank is larger

• Water is being drained simultaneously

• The outlet pipe is faster

• The inlet pipe is slower

Tags

CCSS.HSA.CED.A.1