Unit 1 Lesson 2 Practice Problems

What is the flow rate of the water in gallons per minute if Alex’s aquarium holds 5 1/4 gallons of water and it takes him 2 1/2 minutes to fill it?

• 2.0 gallons per minute

• 2.1 gallons per minute

• 2.2 gallons per minute

• 2.3 gallons per minute

Answer explanation

To find the flow rate, divide the total gallons by the time taken: 5.25 gallons / 2.5 minutes = 2.1 gallons per minute. Therefore, the correct answer is 2.0 gallons per minute.

Bruce jogs 3/4 mile in 1/5 hour. What is his speed in miles per hour?

• 3.75 miles per hour

• 3 miles per hour

• 4 miles per hour

• 3.5 miles per hour

Answer explanation

To find the speed, divide the distance by the time taken: 3/4 mile ÷ 1/5 hour = 3.75 miles per hour. Therefore, Bruce's speed is 3.75 miles per hour.

Kayla mixes 1/6 pound of sugar with 1/8 bucket of water to make a sweet solution. How much sugar does she need to use for a full bucket of water?

Answer explanation

To find the amount of sugar for a full bucket of water, we need to add 1/8 pound of sugar for every 1/8 bucket of water. Therefore, Kayla needs to use 1/8 pound of sugar for a full bucket of water.

Emma and Liam are cycling on a track. Emma cycles 5/6 mile in 1/4 hour. Liam cycles 3/4 mile in 1/5 hour. Who is faster? How much faster? Show your work.

• Emma is faster by 1/10 mile per hour

• Liam is faster by 1/10 mile per hour

• Emma is faster by 1/5 mile per hour

• Liam is faster by 1/5 mile per hour

Answer explanation

Liam is faster by 1/5 mile per hour

A snail moves through a park and travels 2 1/4 meters in 3 minutes. What is the snail’s rate in minutes per meter?

• 1.33 minutes per meter

• 1.2 minutes per meter

• 1.5 minutes per meter

• 1.4 minutes per meter

Answer explanation

To find the snail's rate in minutes per meter, divide the distance traveled (2 1/4 meters) by the time taken (3 minutes). Convert the mixed number to an improper fraction (9/4) and divide by 3 to get 3/2 or 1.5 minutes per meter.

Dominic is making meatloaf. He uses 3/4 cup of breadcrumbs for every 1 1/4 pounds of ground beef. How many cups of breadcrumbs does he need when he uses 2 pounds of ground beef?

Answer explanation

To find the amount of breadcrumbs needed for 2 pounds of ground beef, we use the ratio 3/4 cup breadcrumbs : 1 1/4 pounds beef. First, calculate how many times 1 1/4 pounds fits into 2 pounds (2 / 1 1/4 = 1.6). Then, multiply 1.6 by 3/4 to get the amount of breadcrumbs needed, which is 1.2 cups.

What is the result of simplifying the complex fraction involving 3/4 and 2 1/5?

• 2 1/20

• 2 3/20

• 2 5/20

• 2 7/20

Answer explanation

To simplify the complex fraction, convert 2 1/5 to an improper fraction as 11/5. Then, multiply 3/4 by 5/11 to get 15/44. Finally, convert 15/44 to a mixed number as 2 5/20.

Sarah swims 1/2 mile in 1/6 hour. What is her speed in miles per hour?

• 3 miles per hour

• 2 miles per hour

• 4 miles per hour

• 5 miles per hour

Answer explanation

To find Sarah's speed, divide the distance by the time taken: 1/2 mile ÷ 1/6 hour = 3 miles per hour. Therefore, her speed is 4 miles per hour.

A cyclist travels 7/8 mile in 1/3 hour. What is the cyclist’s speed in miles per hour?

• 2.5 miles per hour

• 2.6 miles per hour

• 2.7 miles per hour

• 2.8 miles per hour

Answer explanation

To find the speed, divide the distance by the time: (7/8) / (1/3) = 2.8 miles per hour. Therefore, the correct answer is 2.8 miles per hour.

Aaron jogged 10 miles in 2 hours. At this rate, how many miles could he jog in 4 hours?

• 10 miles

• 5 miles

• 20 miles

• 8 miles

Answer explanation

Since Aaron jogged 10 miles in 2 hours, he jogs at a rate of 5 miles per hour. Therefore, in 4 hours, he could jog 20 miles (5 miles/hour * 4 hours = 20 miles).