ASVAB (Armed Services Vocational Aptitude Battery)Arithmetic Reasoning (AR)Medium
A reconnaissance team covers 2.5 miles in 30 minutes. If they maintain this pace, how long will it take them to cover 10 miles?
- A2 hours
- B2 hours 30 minutes
- C1 hour 30 minutes
- D3 hours
Show answer & explanationAnswer & explanation
Correct answer: A. 2 hours
This is a direct proportion problem. If they cover 2.5 miles in 30 minutes, to cover 10 miles (which is 4 times 2.5 miles), it will take 4 times 30 minutes. 4 * 30 minutes = 120 minutes, which is 2 hours.
Why the other options are wrong
- B. This would be the time for 12.5 miles.
- C. This would be the time for 7.5 miles.
- D. This would be the time for 15 miles.
Direct Proportion
A relationship between two quantities where an increase in one quantity results in a proportional increase in the other, and vice versa.
- Often expressed as Y = kX, where k is the constant of proportionality.
- If X and Y are directly proportional, X1/Y1 = X2/Y2.
- Used when quantities increase or decrease together at a constant ratio.
Memory trick: Same Pace, Same Ratio: More distance means more time, proportionally.