Time, Speed and Distance Aptitude: Complete Guide

Time, Speed and Distance is one of the most frequently asked topics in aptitude exams. Whether you’re preparing for campus placements, SSC, Banking, Railways, CAT, UPSC, or other competitive exams, mastering this topic can help you solve questions quickly and accurately.

Unlike many other aptitude topics, Time, Speed and Distance is highly formula-based. Once you understand the relationship between these three quantities, solving even complex questions becomes much easier.

In this guide, you’ll learn:

• What Time, Speed and Distance means
• Important formulas
• Unit conversions
• Average speed
• Solved examples
• Common mistakes
• Quick revision tips

---

Quick Answer

Time, Speed and Distance are connected using one simple relationship:

Distance = Speed × Time

From this formula, we can also derive:

• Speed = Distance ÷ Time
• Time = Distance ÷ Speed

Formula Triangle

        Distance
     ─────────────
      Speed × Time

Knowing this relationship is enough to solve a large percentage of aptitude questions.

---

What is Time, Speed and Distance?

Let’s understand each term individually.

Time

Time tells us how long an object takes to travel.

Examples

• A student walks to college in 20 minutes
• A train reaches Chennai in 5 hours
• A car completes a journey in 2.5 hours

Common Units

• Seconds (s)
• Minutes (min)
• Hours (hr)

---

Speed

Speed tells us how fast an object moves.

Examples

• Walking speed = 5 km/h
• Bicycle = 15 km/h
• Car = 60 km/h
• Train = 90 km/h

Speed is written as:

Distance per unit time

Examples:

• km/h
• m/s
• miles/hour

---

Distance

Distance is the total length travelled from one point to another.

Examples

• Home to office = 12 km
• Chennai to Madurai = 460 km
• School playground = 300 m

Distance is measured in:

• Metres
• Kilometres
• Miles

---

Why Time, Speed and Distance Matters

This topic appears regularly in competitive exams because it tests logical thinking and calculation skills.

You’ll frequently see questions involving:

• Cars
• Bikes
• Trains
• Flights
• Boats
• Walking
• Running
• Races
• Relative Speed

Typical exam questions include:

• A train crosses a platform.
• Two cars move towards each other.
• A cyclist reaches late due to reduced speed.
• A person walks and runs different distances.
• Boats move upstream and downstream.

Since these questions follow standard formulas, learning the concepts properly can save valuable exam time.

---

Distance, Speed and Time Formula

Formula 1

Distance = Speed × Time

Example

Speed = 60 km/h

Time = 4 hours

Distance = 60 × 4

= 240 km

---

Formula 2

Speed = Distance ÷ Time

Example

Distance = 180 km

Time = 3 hours

Speed = 180 ÷ 3

= 60 km/h

---

Formula 3

Time = Distance ÷ Speed

Example

Distance = 150 km

Speed = 50 km/h

Time = 150 ÷ 50

= 3 hours

---

Formula Summary

Find	Formula
Distance	Speed × Time
Speed	Distance ÷ Time
Time	Distance ÷ Speed

This table alone is enough to solve many beginner-level aptitude questions.

---

Units and Conversions

One of the biggest reasons students lose marks is forgetting to convert units.

For example:

• Distance in metres
• Speed in km/h
• Time in minutes

These must all be converted into compatible units before applying formulas.

Kilometres and Metres

• 1 km = 1000 m
• 500 m = 0.5 km

Hours and Minutes

• 1 hour = 60 minutes
• 30 minutes = 0.5 hour
• 15 minutes = 0.25 hour
• 45 minutes = 0.75 hour

km/h to m/s

Multiply by:

5/18

Example:

72 km/h

= 72 × 5/18

= 20 m/s

m/s to km/h

Multiply by:

18/5

Example:

15 m/s

= 15 × 18/5

= 54 km/h

Conversion Table

Convert	Multiply By
km/h → m/s	5/18
m/s → km/h	18/5
Hours → Minutes	×60
Minutes → Hours	÷60
km → metres	×1000
metres → km	÷1000

---

Average Speed

Average speed is another favourite exam topic.

Many students think they can simply average two speeds.

This is not always correct.

Average Speed means:

Average Speed = Total Distance ÷ Total Time

Example

A car travels:

• 60 km in 1 hour
• 40 km in 1 hour

Total Distance = 100 km

Total Time = 2 hours

Average Speed = 100 ÷ 2 = 50 km/h

Important Note

If equal distances are covered at different speeds, use:

Average Speed = 2ab ÷ (a + b)

Where:

• a = First speed
• b = Second speed

Example

40 km at 40 km/h

40 km at 60 km/h

Average Speed

= (2 × 40 × 60) ÷ (40 + 60)

= 48 km/h

---

Basic Solved Examples

Example 1

A bus travels at 45 km/h for 4 hours.

Solution

Distance = Speed × Time

= 45 × 4

= 180 km

---

Example 2

A train covers 300 km in 5 hours.

Solution

Speed = Distance ÷ Time

= 300 ÷ 5

= 60 km/h

---

Example 3

A cyclist covers 96 km at 24 km/h.

Solution

Time = Distance ÷ Speed

= 96 ÷ 24

= 4 hours

---

Example 4

Convert 90 km/h into m/s.

Solution

90 × 5/18

= 25 m/s

---

Example 5

Convert 20 m/s into km/h.

Solution

20 × 18/5

= 72 km/h

---

Common Mistakes Students Make

1. Forgetting unit conversions.
2. Using the wrong formula.
3. Incorrect average speed calculations.
4. Depending too much on calculators.
5. Ignoring important words like upstream, downstream, same direction, and opposite direction.

---

Pocket Aptitude Tip

💡 Remember the Formula Triangle.

        Distance
     ─────────────
      Speed × Time

Also memorize:

• 5/18
• 18/5
• 60 minutes = 1 hour
• 1000 metres = 1 km

---

Quick Revision Table

Concept	Formula
Distance	Speed × Time
Speed	Distance ÷ Time
Time	Distance ÷ Speed
Average Speed	Total Distance ÷ Total Time
Equal Distance Average Speed	2ab ÷ (a+b)
1 km	1000 m
1 hour	60 minutes
km/h → m/s	×5/18
m/s → km/h	×18/5

---

Relative Speed

Relative speed refers to the speed of one moving object with respect to another.

Opposite Direction

Formula

Relative Speed = Speed₁ + Speed₂

Example

60 km/h + 40 km/h

= 100 km/h

Same Direction

Formula

Relative Speed = Faster Speed − Slower Speed

Example

70 − 50

= 20 km/h

---

Train Problems

Train Crossing a Pole

Time = Length of Train ÷ Speed

Example

180 ÷ 18

= 10 seconds

Train Crossing a Platform

Distance = Train Length + Platform Length

Example:

180 + 120 = 300 m

Time = 300 ÷ 15

= 20 seconds

Two Trains Crossing Each Other

Relative Speed = Sum of Speeds

Distance = Total Length of Both Trains

Example:

400 ÷ 35

≈ 11.43 seconds

---

Boats and Streams

Downstream

Boat Speed + Stream Speed

Upstream

Boat Speed − Stream Speed

Example

Boat = 12 km/h

Stream = 4 km/h

Downstream = 16 km/h

Upstream = 8 km/h

Boat and Stream Speed

Boat Speed = (Downstream + Upstream) ÷ 2

Stream Speed = (Downstream − Upstream) ÷ 2

---

Circular Track Problems

Same Direction

Time = Track Length ÷ Difference of Speeds

Example:

400 ÷ 2

= 200 seconds

Opposite Direction

Time = Track Length ÷ Sum of Speeds

Example:

500 ÷ 15

≈ 33.33 seconds

---

Speed-Time Shortcut Tricks

• Convert units before solving.
• km/h → m/s = ×5/18
• m/s → km/h = ×18/5
• Pole → Train Length only
• Platform → Train + Platform
• Same Direction → Subtract speeds
• Opposite Direction → Add speeds
• Downstream → Add stream speed
• Upstream → Subtract stream speed

---

Placement Interview Tips

• Memorize formulas.
• Practice conversions.
• Learn shortcuts.
• Avoid calculators while practicing.
• Solve previous placement papers.
• Focus on accuracy before speed.
• Revise train and boat questions frequently.

---

10 Solved Questions

---

20 Practice Questions

---

Frequently Asked Questions

What is the most important formula?

Distance = Speed × Time

How do I convert km/h into m/s?

Multiply by 5/18.

How do I convert m/s into km/h?

Multiply by 18/5.

What is Relative Speed?

The speed of one moving object with respect to another.

How are train problems solved?

Use the total distance covered and divide it by the appropriate speed.

Which exams ask these questions?

Campus Placements, SSC, Banking, Railways, CAT, UPSC, Defence, and State Government exams.

---

Related Articles

• Percentage Aptitude Guide
• Profit and Loss Aptitude Guide
• Discount Aptitude Guide
• Ratio and Proportion Aptitude Guide
• Simple Interest Aptitude Guide

---

Summary

Time, Speed and Distance is one of the highest-scoring aptitude topics in competitive exams. By understanding the relationship between time, speed, and distance, mastering unit conversions, and practicing advanced topics such as relative speed, trains, boats and streams, and circular tracks, you can solve questions quickly and accurately. Regular revision and consistent practice will significantly improve your performance in placement tests and competitive examinations.