Rate

Words of “Wiz-dom”—The test writer likes these questions but they aren’t limited to miles per hour. Sometimes they relate to work or other activities. Treat them the same. The general formula is:

Output might be “distance traveled” or “boxes packed” or “walls painted” or “yards mowed.” They will always involve something accomplished in an amount of time.

Sample Questions

1.  My owl, Kelly, can fly 5 blocks in the time it takes my eagle, Van. to fly 6. How many blocks will Kelly fly in the time it takes Van to fly 120?

(A) 92
(B) 100
(C) 108
(D) 128
(E) 144

Answer to question #1

2.  Sudentia averaged 4 miles per hour walking up the long hill to the Castle of Wizdom. She averaged 6 miles per hour walking back down the hill. What was her overall average miles per hour for the round trip?

(A) 4.0
(B) 4.5
(C) 4.8
(D) 5.0
(E) 5.2

Answer to question #2

3.  Trophius can apply 3 gallons of gilt per hour when gilding the roofs of the castle towers. He only buys gilt in 5-gallon containers. What is the minimum number of containers he needs to buy for an 8-hour work day? (“Gilt” is the liquid gold that is applied instead of paint to my roof.)

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

Answer to question #3

4.  At Gargoyle High School each class is 55 minutes long. Students take 7 classes. Rounded to the nearest minute, how much time do they spend in class each day? (Wiz–Assume nobody is tardy since tardy students have to take the ACT at midnight! J)

A. 6 hours
B. 6 hours and 15 minutes
C. 6 hours and 25 minutes
D. 6 hours and 30 minutes
E. 6 hours and 42 minutes

Answer to question #4

5.  A trefolla walked .25 miles per hour for 7 hours. A gormonger ran 12 miles per hour for 10 minutes. Who is ahead and by how far?

A. the tortoise by 0.25 miles
B. the tortoise by 1 mile
C. the horse by 0.25 miles
D. the horse by 0.50 miles
E. the horse by 2 miles

Answer to question #5

6.  It turns out that Darrell’s “Fire-breathing Rubberburner” has a few problems with its speedometer. It registers how many seconds it takes to go one mile. How many miles per hour is he going if the speedometer registers 75 seconds per mile?

A. 45
B. 48
C. 52
D. 56
E. 75

Answer to question #6

7.  Louie can paint one room in 1 hour and 20 minutes. Frank can paint two rooms in 3 hours and 20 minutes. If they work together for 6 hours, which answer is closest to how many rooms they have left to paint in a 9-room castle tower?

A. They are finished.
B. one half of a room
C. one room
D. one and one-half rooms
E. 2 rooms

Answer to question #7

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