Bank Exam Speed Maths Master Series Page 12 | Time Speed & Distance Tricks & Fast Calculation Methods

 

 Bank Exam Speed Maths Master Series – Page 12

Time, Speed & Distance Tricks & Fast Calculation Methods

Shaktimatha Learning – Speed Maths Academy
Learn Time, Speed & Distance shortcut tricks, aptitude formulas, and fast calculation methods for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

 Importance of Time, Speed & Distance in Competitive Exams

Time, Speed & Distance is one of the most important topics in:

• Bank Exams
• SSC
• Railway Exams
• Insurance Exams
• Quantitative Aptitude

This topic is highly useful in:

• Train Problems
• Boats & Streams
• Relative Speed
• Circular Motion
• Data Interpretation

🎯 Basic Concept of Time, Speed & Distance

The three concepts are directly connected:

• Speed increases → Time decreases
• Distance increases → Time increases

 Basic Formula

0

 Speed Formula

1

 Time Formula

2

 Trick 1: Unit Conversion Shortcut

Conversion	Shortcut
km/hr → m/s	× 5/18
m/s → km/hr	× 18/5

Example:

72 km/hr into m/s

72 × 5/18

= 20 m/s

✅ Answer = 20 m/s

 Trick 2: Average Speed Formula

For equal distances:

3

Example:

Speed1 = 40 km/hr
Speed2 = 60 km/hr

Average speed:

(2×40×60)/(40+60)

4800/100

✅ Answer = 48 km/hr

 Trick 3: Relative Speed

Same Direction:

4

Opposite Direction:

5

Example:

Two trains: 50 km/hr and 70 km/hr opposite direction

Relative speed:

50 + 70

✅ Answer = 120 km/hr

 Trick 4: Train Crossing Pole

Formula:

6

Example:

Train length = 200 m
Speed = 20 m/s

Time:

200/20

✅ Answer = 10 seconds

 Trick 5: Train Crossing Platform

Formula:

7

Example:

Train = 150 m
Platform = 100 m
Speed = 25 m/s

Time:

(150+100)/25

250/25

✅ Answer = 10 seconds

 Trick 6: Boats & Streams

Downstream Speed:

8

Upstream Speed:

9

Where:

• u = Boat speed
• v = Stream speed

Example:

Boat = 12 km/hr
Stream = 3 km/hr

Downstream:

12 + 3

✅ Answer = 15 km/hr

Upstream:

12 − 3

✅ Answer = 9 km/hr

 Important Observation Trick

If speed increases by:

x%

Then time decreases approximately by:

10

 Important Time, Speed & Distance Shortcuts

Topic	Shortcut
Distance	Speed × Time
Speed	Distance/Time
Time	Distance/Speed
Relative Speed	Sum or Difference
Average Speed	2xy/(x+y)
Train Problems	Length/Speed

 Practice Questions

1. Convert 90 km/hr into m/s
2. Find average speed of 30 km/hr and 60 km/hr
3. Two trains move opposite at 40 km/hr and 50 km/hr. Find relative speed
4. Train length = 240 m, speed = 20 m/s. Find crossing time
5. Boat speed = 15 km/hr, stream = 5 km/hr. Find upstream speed

✅ Answers

1. 25 m/s
2. 40 km/hr
3. 90 km/hr
4. 12 seconds
5. 10 km/hr

🎯 Preparation Strategy:
Practice unit conversions, relative speed, train problems, and boats & streams shortcuts daily to improve aptitude speed and logical calculation ability.

“Fast Calculations and Smart Formulas Build Confidence in Competitive Exams.”

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Bank Exam Speed Maths Master Series