ASVAB (Armed Services Vocational Aptitude Battery)Mathematics Knowledge (MK)Medium

A squad of soldiers is marching. They cover 4/5 of a mile in 12 minutes. If they maintain this pace, how long will it take them to cover 2 miles?

  1. A30 minutes
  2. B24 minutes
  3. C40 minutes
  4. D36 minutes
Show answer & explanation

Correct answer: A. 30 minutes

First, find the time to cover 1 mile: (12 minutes) / (4/5 mile) = 12 * (5/4) = 15 minutes per mile. Then, multiply by 2 miles: 15 minutes/mile * 2 miles = 30 minutes.

Why the other options are wrong

  • B. This is the time for 8/5 miles (1.6 miles), not 2 miles.
  • C. This is an incorrect calculation, possibly 12 * (5/4) * (8/5).
  • D. This is an incorrect calculation, possibly 12 * 2 + 12.

Proportional Reasoning

Solving problems by establishing equivalent ratios or rates.

  • Often involves finding a unit rate first.
  • Ratios must be consistent.
  • Can be solved using cross-multiplication.

Memory trick: Proportions are Parallel Paths to Progress.

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