Aptitude Topics
Mixed Applications
Bridging abstract averages with physical metrics like speed rates, monetary values, and industrial yields.
Fundamental Principles
Average Speed Rule
Total Distance traveled divided explicitly by Total Time elapsed during the entire journey.
Essential Formulation Tips
- Never simply add two speed rates together to find their average. You must track total time intervals.
Shortcut Execution Techniques
- If equal distances are covered at speeds 'u' and 'v', the Average Speed formula is 2uv / (u + v).
Contextual Inquiries (FAQs)
Q: Why can't we just find the simple average of two speeds?
A: Because travel times vary at different speeds, making a simple average inaccurate.
Example Breakdown: Round Trip Average Speed
Crucial crossover time-speed-distance application pattern.Problem QueryA car travels from A to B at 20 km/hr and returns at 30 km/hr. Find its average speed.
Step-By-Step Solution Path
Distances are equal, so use the formula: 2uv / (u + v)
Calculation = (2 * 20 * 30) / (20 + 30)
Result = 1200 / 50 = 24 km/hr
Analytical Hint: Apply the harmonic mean shortcut for matching distances.
Applied Metrics Practice Set 1
Challenging non-traditional word puzzle challenges.
Q1. A man walks to a spot at 6 km/hr and runs back at 12 km/hr. Find his average speed.