Question

Consider an airplane flying at a cruising speed of
1/2

kilometers in 1/24


of a minute.
Question 1
Compute the unit rate of the airplane's cruising speed in kilometers per minute.
Responses
A 66
B 99
C 1212
D 1818
Question 2
Consider a second airplane flying at a cruising speed of 1/4

kilometers in 1/36

of a minute. What is the difference in the speed of the two airplanes?
Responses
A The second airplane is flying 3 kilometers per minute slower.The second airplane is flying 3 kilometers per minute slower.
B The second airplane is flying 6 kilometers per minute slower.The second airplane is flying 6 kilometers per minute slower.
C The second airplane is flying 3 kilometers per minute faster.The second airplane is flying 3 kilometers per minute faster.
D The second airplane is flying 6 kilometers per minute faster.

Answer 1

Compute speeds as (distance) ÷ (time).

Q1: (1/2) ÷ (1/24) = (1/2)*(24) = 12 km/min → choice C (1212 represents 12).

Q2: (1/4) ÷ (1/36) = (1/4)*(36) = 9 km/min. Difference = 12 − 9 = 3 km/min, so the second is 3 km/min slower → choice A.