Unit Rates
Eric typed 540 words in 9 minutes.
His rate of typing is _____ wpm.
60 words per minute
The price of a 1600 sq. ft. home is $249,600. Find the. price rate of the house in $/sq. ft.
The sides of Square A and Square B are 9 inches and 12 inches respectively. Find the ratio of...
a) their perimeters
b) their areas
a) 3:4
b) 9:16
A car travels for 2 hours at an average speed of 40 mph, and then for 3 hours at an average speed of 60 mph. What is the car’s average speed for the entire journey?
52 mph
2/3=x/36
x = 24
The weight of a dozen cans is 93 ounces.
The rate of mass is ___ oz/can
7.75 ounces per can
An AT&T technician took 5 hours to complete a job. She charged $52.50 for her service.
a) Find the hourly rate she charged.
b) If another job took 2 hours and 30 minutes to complete, how much did she charge for the job at the same hourly rate?
a) The hourly rate is $10.50 per hour.
b) The charge for the second job is $26.25.
A lemonade recipe uses lemon juice and water in a ratio of 1 cup of lemon juice for every 4 cups of water. If you make 15 cups of lemonade, how much lemon juice and how much water do you need?
3 cups of lemon juice
12 cups of water
A truck driver traveled 1,325 miles in 25 hours.
a) Find his speed in mph
b) Express his speed in km/hr (Round to the nearest whole number)
a) 53 mph
b) 85 km/hr
8/m=3.2/4
x = 10
Ms. Facchino can grade a 20 question test in 4 minutes. At this rate, how long would it take your take grade 7 tests?
It would take 28 minutes to grade 7 tests.
A car traveled 143 miles on 6.5 gallons of gasoline. The price of the gasoline consumed was $18.20.
a) Find the rate of gasoline consumption in mi/gal.
b) What was the price of gasoline per gallon?
a) 22 miles per gallon
b) $2.80 per gallon
Simplify the following ratios completely.
a) 1 1/2:4 1/2
b) 0.250:0.375
c) 0.48:2 2/15
a) 1:3
b) 2:3
c) 9:40
Aanya took 30 minutes to drive from her house to the store at an average speed of 40 miles per hour.
a) Find the distance between her house and the store.
b) If she increased her speed by 20 miles per hour, how long would it take to get to the store?
a) 20 miles
b) 20 minutes
(y+1)/3=8/4
y = 5
Nila made 40 friendship bracelets in 2 hours. At this rate, how long would it take her, in minutes, to make 1 friendship bracelet?
0.05 hours = 3 minutes
A pipe delivers 9 liters of water in 20 seconds.
a) Find the amount of water it delivers per minute.
b) An empty fish tank is 60 cm long, 45 cm wide, and 30 cm high. How many minutes does it take for the pipe to fill the empty tank completely with water?
(1 liter = 1,000 cubic centimeters)
a) 27 liters per minute
b) 3 minutes
Caleb, Rishi & Flora share a sum of $840.
The ratio of Caleb's share to Rishi's share is 2:3.
The ratio of Rishi's share to Flora's share is 4:5.
How much money do each of them have?
Caleb has $192, Rishi has $288, and Flora has $360.
Sound travels at 340 meters per second in air.
a) Find the distance traveled by sound in air in 7 seconds. Give your answer to the nearest 0.1 kilometer
b) A boy clapped his hands at recess. His friend could hear his claps 3 seconds later. How far is his friend away from him in meters?
a) 2.4 km
b) 1020 meters
4/(m-8)=8/2
m = 9