Bank Exam Speed Maths

Page 10: Time, Speed & Distance (Shortcut Methods)

1. Basic Formula

Speed = Distance / Time

Distance = Speed × Time

Time = Distance / Speed

Example: Speed = 60 km/hr, Time = 2 hrs
Distance = 60 × 2 = 120 km

2. Unit Conversion

km/hr → m/s: × 5/18

m/s → km/hr: × 18/5

Example: 72 km/hr = 72 × 5/18 = 20 m/s

3. Average Speed

Formula: Total Distance / Total Time

Special Case (Equal Distance):
Average Speed = (2xy) / (x + y)

Example: 60 km/hr and 40 km/hr
Avg = (2×60×40)/(60+40) = 48 km/hr

4. Relative Speed

Same Direction: Speed difference

Opposite Direction: Speed sum

Example:
A = 60 km/hr, B = 40 km/hr
Opposite direction = 100 km/hr

5. Train Problems

Distance = Length of train

Example:
Train length = 120 m
Speed = 60 km/hr = 60×5/18 = 50/3 m/s
Time = Distance / Speed = 120 ÷ (50/3) = 7.2 sec

6. Boats & Streams

Downstream Speed: Boat + Stream

Upstream Speed: Boat - Stream

Example:
Boat = 10 km/hr, Stream = 2 km/hr
Downstream = 12 km/hr
Upstream = 8 km/hr

7. Important Tips

• Always convert units correctly

• Use relative speed in train problems

• Apply shortcut formula for average speed

8. Practice Questions

1. Speed = 50 km/hr, Time = 4 hrs → Distance?

2. Convert 90 km/hr into m/s

3. Avg speed of 30 & 60 km/hr → ?

4. A (40 km/hr) and B (60 km/hr) opposite direction → Relative speed?

5. Boat = 12 km/hr, Stream = 3 km/hr → Upstream speed?

Bank Exam Speed Maths – Complete Course

All Quant Topics + Reasoning Quizzes in One Place

About This Course:

This complete course is designed for IBPS, SBI, SSC and other competitive exams. Learn all quantitative aptitude topics with shortcut tricks, practice questions, and reasoning quizzes.

Quantitative Aptitude Topics

1. Number System

2. Simplification

3. Squares & Cubes

4. Percentage

5. Profit & Loss

6. Ratio & Proportion

7. Average

8. Time & Work

9. Pipes & Cistern

10. Time Speed Distance

11. Simple Interest

12. Compound Interest

13. Mixture & Alligation

14. Partnership

15. Data Interpretation

16. Number Series

17. Quadratic Equations

18. Inequalities

19. Approximation

20. Exam Strategy

Reasoning Quiz Section

Triangle Quiz – Level 1

Triangle Quiz – Level 2

Practice Daily to Improve Speed & Accuracy

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