Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
These 20 problems train the skill in standard 7.RP.A.1: computing unit rates from ratios of fractions. They start with a single complex fraction and move to rates with mixed units, areas, tables and comparisons.
Work in order. Write each division as a fraction first, multiply by the reciprocal, simplify, and always attach the unit to the answer.
Standards: 7.RP.A.1 · Level: Grade 7
Problem 1 Reading a Complex Fraction ★★★
A cyclist rides 45 mile in 16 hour.
- Write the rate as a complex fraction.
- Find the unit rate in miles per hour.
Problem 2 Hose Filling a Bucket ★★★
A watering can pours out 56 gallon in 29 minute. How many gallons is that per minute?
Problem 3 Sugar per Batch ★★★
A bakery uses 58 cup of sugar for 14 of a batch of muffins. How many cups of sugar go into 1 whole batch?
Problem 4 Hiking Speed ★★★
Dario hikes 910 mile in 35 hour. What is his speed in miles per hour?
Problem 5 Price of Cashews ★★★
A store sells 34 pound of cashews for $6.75. Find the price per pound.
Problem 6 Toy Car Both Ways ★★★
A toy car rolls 35 foot in 110 second.
- Find the speed in feet per second.
- Find the pace in seconds per foot.
Problem 7 Which Hiker Is Faster ★★★
Hiker A walks 34 mile in 13 hour. Hiker B walks 23 mile in 14 hour. Compare the unit rates and tell who is faster.
Problem 8 Better Paint Buy ★★★
Brand X sells 23 gallon of paint for $12.00. Brand Y sells 34 gallon for $14.25. Which brand costs less per gallon, and by how much?
Problem 9 Conveyor Belt Units ★★★
A belt in a warehouse moves a crate 56 yard in 37 minute. What is the crate’s speed in feet per minute?
Problem 10 Minutes to Hours ★★★
A skater glides 38 mile in 2 12 minutes. How fast is that in miles per hour?
Problem 11 Painting a Panel ★★★
A painter covers a rectangular panel that is 34 yard long and 23 yard wide in 16 hour. How many square yards does the painter cover per hour?
Problem 12 Filling a Pool ★★★
A pump fills 16 of a pool in 34 hour.
- Find the unit rate in pools per hour.
- How many hours would it take to fill the entire pool?
Problem 13 Distance at a Steady Pace ★★★
A runner covers 56 mile every 14 hour. At that pace, how far does the runner go in 1 12 hours?
Problem 14 Rate Table for a Model Train ★★★
A model train travels 78 foot in 14 minute at a constant speed. Find the unit rate, then complete the missing distances in the table.
Problem 15 Mural Painting Time ★★★
A rectangular mural is 2 12 feet long and 1 15 feet wide. An artist paints 38 of it in 1 12 hours.
- How many square feet per hour does the artist paint?
- How many more hours are needed to finish the mural at the same rate?
Problem 16 Trail Schedule ★★★
A hiking group covers 2 14 miles in 34 hour. The trail is 6 34 miles long, and the group plans a 12-hour lunch stop. If they start at 8:15 AM, when do they finish?
Problem 17 Printer Race ★★★
Printer A prints 34 page in 18 minute. Printer B prints 2 12 pages in 12 minute. How many minutes does each printer need for a 45-page report, and how much sooner does the faster one finish?
Problem 18 Storm Rainfall ★★★
During a storm, 58 inch of rain falls in 12 hour.
- Find the rate in inches per hour.
- At that rate, how many hours until 3 34 inches have fallen?
- Express the rate in feet per hour.
Problem 19 Mixing Paint Tint ★★★
A shop mixes 23 cup of blue tint into every 34 gallon of white base paint. How many cups of tint go into 1 gallon? How many cups are needed for 4 12 gallons?
Problem 20 Three Athletes Compared ★★★
Leo bikes 1 12 miles in 14 hour. Nia skates 310 mile in 3 minutes. Omar jogs 58 mile in 6 minutes. Convert all speeds to miles per hour and rank the athletes from fastest to slowest.
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