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

A reconnaissance drone completes 3/5 of its mission flight path in 45 minutes. At this rate, how much total time, in hours and minutes, will the entire mission take?

  1. A1 hour 45 minutes
  2. B1 hour 30 minutes
  3. C1 hour 25 minutes
  4. D1 hour 15 minutes
Show answer & explanation

Correct answer: D. 1 hour 15 minutes

If 3/5 of the mission takes 45 minutes, find the time for 1/5 of the mission. Then multiply that by 5 to find the total time for the entire mission. Convert the total minutes into hours and minutes.

Why the other options are wrong

  • A. This option is incorrect; it might result from dividing 45 by 3 and then multiplying by 7, or other calculation errors.
  • B. This option is incorrect; it might result from a miscalculation, perhaps assuming 3/5 of 90 minutes.
  • C. This option is incorrect; it might result from incorrect calculation of the total time or conversion.

Fractional Time Calculation

Fractional time calculation involves determining the total time required for a task when a known fraction of the task has been completed in a given amount of time.

  • Uses the concept of direct proportion.
  • If a fraction 'part/whole' takes 'X' time, then '1/whole' takes 'X/part' time.
  • Total time is (X/part) * whole.

Memory trick: If you know how long a piece of the pie takes, you can find the whole pie's time.

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