Police Math Test Police Math Speed, Distance, and Time 2 — Questions and Answers
Question 1: A patrol car travels 90 miles in 1.5 hours. What is its average speed?
- 45 mph
- 60 mph (Correct answer)
- 75 mph
- 90 mph
Correct answer: 60 mph
Speed = distance ÷ time = 90 ÷ 1.5 = 60 mph.
Question 2: A suspect vehicle drives at 50 mph for 3 hours. How far does it travel?
- 100 miles
- 120 miles
- 150 miles (Correct answer)
- 180 miles
Correct answer: 150 miles
Distance = speed × time = 50 × 3 = 150 miles.
Question 3: How long does it take to travel 240 miles at 60 mph?
- 3 hours
- 4 hours (Correct answer)
- 5 hours
- 6 hours
Correct answer: 4 hours
Time = distance ÷ speed = 240 ÷ 60 = 4 hours.
Question 4: An officer drives 30 miles in 40 minutes. What is the average speed in mph?
- 40 mph
- 45 mph (Correct answer)
- 50 mph
- 55 mph
Correct answer: 45 mph
40 minutes = 2/3 hour; 30 ÷ (2/3) = 45 mph.
Question 5: A car travels at 65 mph for 2 hours and then 55 mph for 1 hour. What total distance is covered?
- 175 miles
- 185 miles (Correct answer)
- 195 miles
- 205 miles
Correct answer: 185 miles
(65 × 2) + (55 × 1) = 130 + 55 = 185 miles.
Question 6: If a vehicle covers 15 miles in 20 minutes, how far will it travel in 1 hour at the same speed?
- 30 miles
- 40 miles
- 45 miles (Correct answer)
- 60 miles
Correct answer: 45 miles
20 minutes × 3 = 60 minutes, so 15 × 3 = 45 miles.
Question 7: A patrol unit needs to reach a scene 36 miles away in 30 minutes. What minimum average speed is required?
- 60 mph
- 66 mph
- 72 mph (Correct answer)
- 78 mph
Correct answer: 72 mph
30 minutes = 0.5 hour; 36 ÷ 0.5 = 72 mph.
A patrol car travels 90 miles in 1.5 hours.
What is its average speed?