Unit 1 Lesson 2 Practice Problems

What is the flow rate of the water in gallons per minute if Alex’s fish tank 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 tank capacity (5 1/4 gallons) by the time taken to fill it (2 1/2 minutes): 5.25 / 2.5 = 2.2 gallons per minute. Therefore, the correct answer is 2.2 gallons per minute.

Sarah swims 2/3 mile in 1/6 hour. What is her speed in miles per hour?

• 4 miles per hour

• 3 miles per hour

• 5 miles per hour

• 6 miles per hour

Answer explanation

To find Sarah's speed, divide the distance by the time: (2/3) / (1/6) = 4. Multiply by 1 to convert to miles per hour: 4 * 1 = 6 miles per hour. Therefore, the correct answer is 6 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.

Who is quicker and by what margin?

• Hayley is quicker by 1/10 mile per hour

• Maxwell is quicker by 1/10 mile per hour

• Hayley is quicker by 1/5 mile per hour

• Maxwell is quicker by 1/5 mile per hour

Answer explanation

Hayley is quicker by 1/10 mile per hour

A turtle moves through a pond and travels 2 1/4 meters in 3 minutes. What is the turtle’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 turtle's rate, divide the distance by the time: 2.25 meters / 3 minutes = 0.75 meters per minute. To convert to minutes per meter, take the reciprocal: 1 / 0.75 = 1.5 minutes per meter. Therefore, the correct answer is 1.5 minutes per meter.

Dominic is making pancakes. He uses 3/4 cup of milk for every 1 1/4 cups of flour. How many cups of milk does he need when he uses 1 3/4 cups of flour?

• 1 cup

• 1 1/4 cups

• 1 1/2 cups

• 2 cups

Answer explanation

To find the amount of milk needed, multiply 1 3/4 cups of flour by 3/4 cup of milk per 1 1/4 cups of flour. This gives 1 1/4 cups of milk required.

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.

Issa flew 600 miles in 120 minutes. How many miles per minute did she fly?

• 5 miles per minute

• 0.2 miles per minute

• 3 miles per minute

• 6 miles per minute

Answer explanation

To find miles per minute, divide total miles by total minutes: 600 miles / 120 minutes = 5 miles per minute. Therefore, Issa flew 5 miles per minute.

You earn $35 for washing 7 cars. How much do you earn for washing 4 cars?

• $5

• $20

• $25

• $8.75

• $61.25

Answer explanation

To find out how much you earn for washing 4 cars, divide $35 by 7 to get $5 per car. Multiply $5 by 4 cars to earn $20 in total.

Emma reads 90 pages in 1.5 hours. How many pages does she read per hour?

• 50 pages per hour

• 55 pages per hour

• 60 pages per hour

• 65 pages per hour

Answer explanation

To find pages per hour, divide total pages read by total hours: 90 pages / 1.5 hours = 60 pages per hour. Therefore, Emma reads 60 pages per hour.