Unit Rates

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Show your work for each problem.

1.
A pack of 6 juice boxes costs 9 dollars. What is the unit rate?
1. a)54 dollars per box
2. b)0.67 dollars per box
3. c)1.50 dollars per box
4. d)6 dollars per box
2.
A car travels 180 kilometers in 3 hours. What is its speed in km/h?
3.
Which is a unit rate?
1. a)15 pages in 3 days
2. b)120 km in 2 hours
3. c)45 km per hour
4. d)8 apples for 4 dollars
4.
A printer prints 120 pages in 4 minutes. How many pages does it print per minute?
5.
A store sells 4 notebooks for 10 dollars. What is the price per notebook?
6.
Store A sells 3 pens for 6 dollars. Store B sells 5 pens for 9 dollars. Which store has the better price per pen?
1. a)Store A (2 dollars/pen)
2. b)Store B (1.80 dollars/pen)
3. c)Both are equal
4. d)Cannot be determined
7.
A cyclist travels at 24 km/h. How many kilometers will they travel in 2.5 hours?
8.
A factory produces 450 items in 6 hours. How many items will it produce in 10 hours?
9.
A 500ml bottle costs 2 dollars. A 750ml bottle costs 2.70 dollars. Which has the better unit price per liter?
1. a)Both are equal
2. b)750ml bottle (3.60 dollars/L) - this is correct
3. c)750ml bottle (3.60 dollars/L)
4. d)500ml bottle (4 dollars/L)
10.
A train travels 280 km in 4 hours. How long will it take to travel 420 km at the same speed?
11.
Maria types 180 words in 4 minutes. How many words can she type in 15 minutes?
12.
Car A uses 32 liters of fuel to travel 400 km. Car B uses 45 liters to travel 600 km. Which car is more fuel-efficient?
1. a)Car B (7.5 L/100km)
2. b)Car A (12.5 km/L)
3. c)Both are equal
4. d)Car A (8 L/100km)
13.
A machine produces 840 parts in 7 hours. Another machine produces 1020 parts in 9 hours. How many more parts per hour does the faster machine produce?
14.
A phone plan charges 45 dollars for 10 GB of data. Another plan charges 60 dollars for 15 GB. How much cheaper per GB is the better plan?
15.
Worker A earns 96 dollars for 8 hours of work. Worker B earns 130 dollars for 10 hours. If they both work 40 hours, how much more will Worker B earn?
16.
A recipe calls for 3 cups of flour for every 2 cups of sugar. If you have 9 cups of flour, how many cups of sugar do you need?