Time, Speed and Distance – Relative Speed and Shortcut Tricks
Solve TSD problems quickly using formulas, unit conversion and relative speed techniques.
Core Formula
Speed = Distance ÷ Time Distance = Speed × Time Time = Distance ÷ Speed
Unit Conversion Trick
Rule:
km/hr to m/s → multiply by 5/18
m/s to km/hr → multiply by 18/5
Example: 72 km/hr = 72 × 5/18 = 20 m/s
Relative Speed Trick
Same Direction:
Relative speed = Difference of speeds
Opposite Direction:
Relative speed = Sum of speeds
Shortcut Example
Q: Two trains moving opposite at 40 km/hr and 60 km/hr
Relative Speed:
40 + 60 = 100 km/hr
Exam Level Questions
1. Speed = 60 km/hr, time = 2 hr → distance?
Answer: 120 km
2. Distance = 150 km, speed = 50 km/hr → time?
Answer: 3 hr
3. Two persons moving in same direction 50 & 30 km/hr → relative speed?
Answer: 20 km/hr
4. Convert 54 km/hr to m/s
Answer: 15 m/s
Common Mistake
Students forget to use correct relative speed (sum or difference).
Speed Tip
Always check direction first before applying relative speed formula.
Speed Maths • Bank Exam Preparation
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