ASVAB (Armed Services Vocational Aptitude Battery)Arithmetic Reasoning (AR)Hard
A pilot determines that 3/8 of the mission's flight path covers enemy territory. If the total mission flight path is 1200 miles, and 1/4 of the enemy territory portion is heavily defended, how many miles of the flight path are heavily defended?
- A150 miles
- B112.5 miles
- C450 miles
- D225 miles
Show answer & explanationAnswer & explanation
Correct answer: B. 112.5 miles
First, find the length of the enemy territory portion: (3/8) * 1200 miles = 450 miles. Then, find 1/4 of this length to get the heavily defended portion: (1/4) * 450 miles = 112.5 miles.
Why the other options are wrong
- A. Incorrect calculation, possibly 1/8 of total.
- C. This is the total length of the enemy territory portion, not the heavily defended part.
- D. Incorrect calculation, possibly 1/4 of the total mission.
Fractions of Fractions
Calculating a fractional part of an already established fractional portion of a whole.
- Multiply the fractions together to find the combined fraction of the whole.
- Alternatively, calculate the first fractional part, then the second fractional part of that result.
- Order of operations is important for clarity.
Memory trick: Fraction Chain: Cut the whole, then cut the piece again.