NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Lesson 1-3 Reteach
Convert Unit Rates
Unit ratios and their reciprocals can be used to convert rates. Sometimes you have to multiply more than once.
Example
The speed limit on the interstate is 65 miles per hour. How many feet per minute is the speed limit?
Because the unit of miles must divide out, use the unit ratio
5,280 ft
1 mi
because the unit of miles is in the denominator. Use
1h
60 min
to convert from hours to minutes.
65 mi
1h
=
65 mi
1h

5,280 ft
1 mi

1h
60 min
Multiply by the appropriate ratios.
=
65 mi
1h

5,280 ft
1 mi

1h
60 min
Divide out common units.
=
343,200 ft
60 min
=
65  5,280 ft  1
1  1  60 min
or
5,720 ft
1 min
Simplify.
The speed limit is 5,720 feet per minute.
Exercises
Convert each rate.
1. 10 mi/h =
ft/hr
2. 35 cm/sec =
m/sec
3. 4.5 mi/h =
ft/sec
4. WALK Tina walks at a rate of 180 feet per minute. How many feet per second does Tina walk?
5. TRAVELING A car is traveling at a rate of 55 miles per hour. How many feet per hour does the car travel?
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Lesson 1-3 Skills Practice
Convert Unit Rates
Complete. Round to the nearest tenth if necessary.
1. 660 ft/min = ____________ ft/s
2. 25 mi/h ≈ ____________ mi/min
3. 42 cm/s = ____________ m/min
4. 4,500 ft/h = ____________ ft/s
5. 8 mi/h = ____________ ft/min
6. 900 cm/h = ____________ cm/min
7. JOGGING Jarin jogs at a rate of 7.5 miles per hour. How many miles per minute does Jarin jog?
8. BUCKETS Alonzo fills buckets at a rate of 6 gallons per minute. What is the rate in quarts per hour?