Rates and Time Calculations

This lesson focuses on understanding and applying the concept of ratios and rates through practical problems. It covers three main scenarios: Dave's pool cleaning rate, Emmeline's typing speed, and Xavier's swimming qualification. Each scenario involves setting up ratio tables and applying the golden rule of ratios to solve problems related to time and task completion. The lesson emphasizes the importance of understanding relationships between quantities and converting between different forms of ratios.

What is the constant rate at which Dave cleans pools?

• 3 pools per hour

• 3/5 pools per hour

• 5 pools per hour

• 5/3 pools per hour

How many pools can Dave clean in 10 hours?

• 7 pools

• 6 pools

• 5 pools

• 8 pools

If Dave cleans 15 pools, how many hours will it take him?

• 20 hours

• 25 hours

• 30 hours

• 35 hours

What is Emmeline's typing rate?

• 4 pages per minute

• 4/1 page per minute

• 1/4 page per minute

• 1 page per minute

Does Emmeline have enough time to type a 5-page article in 18 minutes?

• No, she needs 25 minutes

• Yes, she finishes in 18 minutes

• No, she needs 20 minutes

• Yes, she finishes in 15 minutes

How long will it take Emmeline to type a 7-page article?

• 24 minutes

• 36 minutes

• 28 minutes

• 32 minutes

What is Xavier's swimming rate?

• 5 meters per second

• 3 meters per second

• 3/5 meters per second

• 5/3 meters per second

Will Xavier qualify for the 100-meter race if he needs to finish in 55 seconds?

• No, he finishes in 65 seconds

• Yes, he finishes in 55 seconds

• No, he finishes in 60 seconds

• Yes, he finishes in 50 seconds

How long does it take Xavier to swim 200 meters?

• 140 seconds

• 110 seconds

• 120 seconds

• 130 seconds

Does Xavier qualify for the 200-meter event if he needs to finish in 130 seconds?

• Yes, he finishes in 120 seconds

• No, he finishes in 150 seconds

• Yes, he finishes in 130 seconds

• No, he finishes in 140 seconds