ASVAB (Armed Services Vocational Aptitude Battery)Arithmetic Reasoning (AR)Hard
A convoy of military vehicles travels 360 miles. The first 1/3 of the journey is on rough terrain, and the remaining distance is on paved roads. If their speed on rough terrain is 30 mph and on paved roads is 60 mph, how long does the entire journey take?
- A7 hours
- B10 hours
- C9 hours
- D8 hours
Show answer & explanationAnswer & explanation
Correct answer: B. 10 hours
First, calculate the distance for each segment of the journey. Then, calculate the time for each segment using Time = Distance / Speed. Finally, add the times for both segments to get the total journey time.
Why the other options are wrong
- A. This might result from using the average of the speeds or miscalculating a segment.
- C. Incorrect calculation for total time.
- D. This could be a result of miscalculating one of the segments or incorrectly adding them.
Multi-Segment Travel Time
To find the total time for a journey with different speeds over different segments, calculate the time for each segment individually and then sum them up.
- Time = Distance / Speed.
- Each segment's time must be calculated separately.
- Total time is the sum of individual segment times.
Memory trick: Divide and Conquer: Segment Times Add Up!