Unit Rates and Constant Speed Problems

The video tutorial explains how to solve problems using rates, unit rates, and conversions. It covers constant rate of work problems, comparing different rates, and calculating unit rates. Examples include comparing lawn mowing rates, menu delivery rates, animal speeds, and typing speeds. The tutorial emphasizes the importance of correctly setting up ratios and using conversion factors for accurate comparisons.

What is a constant rate of work problem?

• A problem involving how much work can be done in a given time

• A problem involving constant speed

• A problem involving how much distance can be covered in a given time

• A problem involving variable speed

How do you calculate a unit rate?

• Divide the numerator by the denominator

• Add the numerator and the denominator

• Multiply the numerator by the denominator

• Subtract the denominator from the numerator

In the example of mowing lawns, what is the unit rate for cutting 3 lawns in 5 hours?

• 0.5 lawns per hour

• 0.6 lawns per hour

• 0.7 lawns per hour

• 0.8 lawns per hour

When comparing fractions, what is the easiest way to determine which is larger?

• Multiply both fractions

• Add both fractions

• Convert to decimals

• Convert to common denominators

In the menu delivery example, who delivers faster?

• Both deliver at the same rate

• Drew

• Neither delivers fast

• Darla

How many menus does Darla deliver per hour?

• 150 menus

• 175 menus

• 170 menus

• 160 menus

In the running example, who is faster?

• The cheetah

• Both run at the same speed

• Neither is fast

• The gazelle

What is the unit rate for the cheetah's speed?

• 10 feet per second

• 12 feet per second

• 15 feet per second

• 20 feet per second

How many words per minute can Norma type?

• 65 words

• 70 words

• 75 words

• 80 words

Who types faster, Norma or Jean?

• Both type at the same speed

• Neither types fast

• Norma

• Jean