ASVAB (Armed Services Vocational Aptitude Battery)Arithmetic Reasoning (AR)Medium

A military convoy travels at an average speed of 40 miles per hour. If they need to cover a distance of 180 miles, how long will the journey take?

  1. A4 hours 30 minutes
  2. B5 hours
  3. C4 hours
  4. D3 hours 30 minutes
Show answer & explanation

Correct answer: A. 4 hours 30 minutes

To find the time taken, divide the total distance by the average speed. Time = Distance / Speed. So, 180 miles / 40 mph = 4.5 hours. Convert 0.5 hours to minutes (0.5 * 60 = 30 minutes), making the total time 4 hours and 30 minutes.

Why the other options are wrong

  • B. This would mean a distance of 200 miles (5 * 40).
  • C. This would mean a distance of 160 miles (4 * 40).
  • D. This would mean a distance of 140 miles (3.5 * 40).

Time Calculation (D-R-T)

Time is calculated by dividing the total distance traveled by the average rate (speed). It's one part of the Distance-Rate-Time formula.

  • Formula: Time = Distance / Rate.
  • Ensure units are consistent (e.g., miles and miles per hour).
  • Fractional hours may need conversion to minutes.

Memory trick: Distance equals Rate times Time, like 'DRT' for Dirt.

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