ASVAB (Armed Services Vocational Aptitude Battery)Arithmetic Reasoning (AR)Hard
A soldier is on a 20-mile march. He completes the first 8 miles in 2 hours and 15 minutes. To complete the entire march in a total of 4 hours, what average speed, in miles per hour, must he maintain for the remaining distance?
- A5.76 mph
- B7.5 mph
- C6.4 mph
- D4.8 mph
Show answer & explanationAnswer & explanation
Correct answer: C. 6.4 mph
First, calculate the remaining distance and remaining time. Convert the remaining time to hours. Then, divide the remaining distance by the remaining time to find the required average speed.
Why the other options are wrong
- A. This option is incorrect; it might come from miscalculating the time remaining or a division error.
- B. This option is incorrect; it might result from incorrect remaining distance or time calculations.
- D. This option is incorrect; it might result from incorrect time calculation or division error (e.g., 20-8 miles / (4 - 2.15 hours)).
Average Speed for Remaining Distance
This involves calculating the required speed for the latter part of a journey to meet a total time goal, by first determining remaining distance and time.
- Requires converting time units (minutes to hours).
- Calculates distance remaining: Total Distance - Distance Covered.
- Calculates time remaining: Total Time - Time Elapsed.
- Speed = Distance / Time.
Memory trick: Imagine a runner needing to sprint faster to catch up to a target finish time.