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Lesson 1: Using Units and Quantities - Practice & Fluency
Fuel Efficiency
Suppose a runner covers a distance of 5322 feet in 6 minutes and 11,531 feet in 13 minutes. Assuming
his speed is constant from the start,
A. How much distance does the runner cover in 16 minutes?
B. How fast, in miles per hour, is the running going?
Solution:
A. 14192 feet
B. 887 ft/min = 10.07 mi/hr
Jack in the Box
Selling fuel oil for less - Be careful with this one because of the equation involved. I suggest partners for
this one.
Carla is comparing two companies that offer internet to her house. Lightning Services costs $40 per
month, but gives a one-time discount of $75 for new customers. Hometown Services offers $30 per
month, but no discount.
a. If she needs internet service for 5 months, which should she choose?
b. Let m = the number of months she needs service. If m ≥ 8, which should she choose? If 1 ≤ m ≤ 7,
which should she choose?
Solution:
a. She would use Lightning Services
b. If m ≥ 8, she should choose Hometown Services. If 1 ≤ m ≤ 7, she should choose Lightning Services
𝑣
Acceleration is the change in speed divided by the change in time. The formula 𝑎 = 𝑡 where a represents
the acceleration, v represents the velocity (in miles per hour), and t represents time (in hours). What units
would a have in this formula?
Solution:
acceleration, a, would be measured in mi/h2
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The world record for the 100 meter dash was 9.58 seconds. Approximately what was the runner’s average
speed, in miles per hour, when he set the world record? (1 mile ≈ 1,609 meters)
A. 4.7 miles per hour
B. 23.4 miles per hour --Answer
C. 37.6 miles per hour
D. 44.7 miles per hour
In Canada, the speed limit is measured in kilometers per hour (kph). Suppose you were driving on a road
and saw the speed limit of 100 kph. If your speedometer showed you were driving at 60 miles per hour
(mph), how far above or below the speed limit are you driving?
(Note: 1 mile ≈ 1.6 kilometers)
A. 2.5 kph below the speed limit
B. 4 kph below the speed limit --Answer
C. 2.5 kph above the speed limit
D. 4 kph above the speed limit
Suppose you are going to build a concrete path in your backyard. The path will be 72 yards long, 2 feet
wide, and 6 inches thick. The cost of the concrete is $75 per cubic yard. How much will the concrete cost
to create the path?
A. $1,244
B. $864
C. $648
D. $600 --Answer
Additional Practice dimensional analysis questions can be drawn from here.
Should you need additional questions, you can find more here.
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