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Police Math Speed, Distance, and Time Flashcards

7 cards from real Police Math Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Police Math Speed, Distance, and Time flashcards as text

  1. Two patrol cars start 300 miles apart and drive toward each other at 50 mph and 70 mph. When do they meet?

    Answer: 2.5 hours

    Combined closing speed is 120 mph; 300 ÷ 120 = 2.5 hours.

  2. A car leaves at 60 mph. A patrol car leaves 1 hour later at 80 mph. How long until the patrol car catches up?

    Answer: 3 hours

    The lead car is 60 miles ahead; gap closes at 20 mph, so 60 ÷ 20 = 3 hours.

  3. A vehicle travels 120 miles at 40 mph, then returns the same route at 60 mph. What is the average speed for the round trip?

    Answer: 48 mph

    Total distance 240 miles ÷ total time 5 hours (3 + 2) = 48 mph.

  4. A suspect runs at 8 mph. How many seconds to cover 100 yards? (1 mile = 1,760 yards)

    Answer: 25.6 seconds

    8 mph = 14,080 yards/hour ≈ 3.91 yards/sec; 100 ÷ 3.91 ≈ 25.6 seconds.

  5. An officer drives 25 miles in 25 minutes. What is the average speed?

    Answer: 60 mph

    25 minutes = 25/60 hour; 25 ÷ (25/60) = 60 mph.

  6. A car travels 200 miles using 8 gallons of fuel at 50 mph. How many gallons per hour does it burn?

    Answer: 2 gal/hr

    Trip time = 200 ÷ 50 = 4 hours; 8 gallons ÷ 4 hours = 2 gal/hr.

  7. A motorcycle covers 5 miles every 6 minutes. What is its speed in mph?

    Answer: 50 mph

    6 minutes fits 10 times in an hour, so 5 × 10 = 50 mph.