Focused Study for Competitive Exams
Time, Speed & Distance – Shortcut Tricks & Tough Problems
A highly important topic in bank exams. Most questions are formula-based and scoring.
1. Basic Formula
Speed = Distance ÷ Time
- Distance = Speed × Time
- Time = Distance ÷ Speed
2. Unit Conversion
- 1 m/s = 3.6 km/h
- 1 km/h = 5/18 m/s
Example:
72 km/h = 72 × (5/18) = 20 m/s
3. Relative Speed
Same direction → subtract speeds
Opposite direction → add speeds
Example:
50 km/h and 70 km/h opposite
Relative speed = 120 km/h
4. Average Speed
Formula:
Average Speed = Total Distance ÷ Total Time
Special Case (Equal Distance):
(2xy)/(x+y)
Example:
20 km/h and 40 km/h
= (2×20×40)/(60) = 26.67 km/h
5. Train Problems
Time = Total Length ÷ Speed
- Total Length = Train + Platform
Example:
Train = 100 m, Time = 10 sec
Speed = 10 m/s
Tough Problems
Q1:
A car travels 120 km in 2 hours. Find speed.
Solution:
Speed = 120 ÷ 2 = 60 km/h
Q2:
Two trains moving in opposite direction at 60 km/h and 90 km/h. Find relative speed.
Solution:
= 60 + 90 = 150 km/h
Q3:
A man travels 60 km at 30 km/h and returns at 60 km/h. Find average speed.
Solution:
= (2×30×60)/(30+60) = 40 km/h
Exam Strategy
- Memorize basic formulas
- Use relative speed in train problems
- Apply shortcut for average speed
- Convert units carefully
Quantitative Aptitude • Bank Exams • Competitive Preparation
Bank Exam Preparation Concept
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