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Time, Speed and Distance – Core Formula Based Topic

Quantitative Aptitude – Time, Speed & Distance

Time, Speed and Distance is a fundamental topic in bank exams. Many questions are direct formula-based, making it a scoring area if concepts are clear and formulas are applied correctly.


Basic Formula

Speed = Distance / Time

  • Distance = Speed × Time
  • Time = Distance / Speed

Important Concepts

  • Speed Unit Conversion:
    1 m/s = 3.6 km/h
    1 km/h = 5/18 m/s

  • Relative Speed:
    Same direction → Subtract speeds
    Opposite direction → Add speeds

  • Average Speed:
    Average Speed = Total Distance / Total Time

Shortcut Tricks

1. Same Distance Formula

Average Speed = (2 × x × y) / (x + y)

2. Train Crossing Concept

  • Time = Total Length / Speed
  • Total Length = Train + Platform

3. Relative Speed Trick

If two objects move in opposite direction: Relative speed = Sum of speeds


Practice Questions

Q1. A car travels 60 km in 2 hours. Find speed
Answer: 30 km/h

Q2. A train 100 m long crosses a pole in 10 sec. Find speed
Answer: 10 m/s

Q3. Two trains moving in opposite direction at 50 km/h and 70 km/h. Find relative speed
Answer: 120 km/h

Q4. A man travels 40 km at 20 km/h and returns at 40 km/h. Find average speed
Answer: 26.67 km/h


Speed Strategy

  • Memorize basic formulas
  • Convert units carefully
  • Use relative speed in train problems
  • Avoid unnecessary calculations

Practice Task

1. Convert 72 km/h into m/s
2. A car travels 150 km in 3 hours. Find speed
3. Two persons move at 5 km/h and 7 km/h opposite direction. Find relative speed


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