Time, Speed and Distance for IPMAT 2026: Formulas, Tricks, and Practice Questions

Time, Speed and Distance for IPMAT 2026: Complete Guide for Last-Minute Preparation

Time, Speed and Distance is one of the most scoring and predictable topics in IPMAT 2026 Quantitative Ability, especially during the final phase of preparation. Instead of trying to cover too many new topics, focusing on areas like this can help you maximize marks with relatively less effort. The advantage of this topic is that questions are formula-based, pattern-driven, and frequently repeated, which makes it suitable for quick revision and improving accuracy.

With the right approach, this topic can help you increase your attempts, manage time better during the exam, and reduce calculation errors.

What is Time, Speed and Distance in IPMAT Quantitative Ability

In IPMAT, Time, Speed and Distance is a core arithmetic topic that tests how effectively you can apply basic concepts to different types of problems. Questions are not usually direct, so you need to interpret the situation and decide the correct method quickly.

Common question types include:

• Trains and platforms

• Boats and streams

• Relative speed problems

• Average speed concepts

The focus is on understanding patterns, applying the right formula, and solving questions efficiently under time pressure.

Many students ask:

What is the importance of Time, Speed and Distance in IPMAT 2026?

“Time, Speed and Distance is one of the most important arithmetic topics in IPMAT Quantitative Ability. It is frequently asked and offers easy to moderate questions, making it a reliable scoring area for improving overall marks.”

Weightage in IPMAT Indore and IPMAT Rohtak Exams

The exact number of questions may vary, but based on past trends, Time, Speed, and Distance has a consistent presence in the arithmetic section.

IPMAT Indore

• Questions are generally moderate in difficulty

• Often requires both logic and calculation

• Emphasis on speed and concept application

IPMAT Rohtak

• Questions are more direct and formula-based

• Slightly easier but still time-bound

• Good opportunity to score quickly

On average, you can expect around 2 to 4 questions from this topic, making it a high-impact area for improving your score.

Want to check and compare the detailed syllabus, download: IPMAT Indore & Rohtak 2026: Latest Syllabus with High-Weightage Topics, Exam Pattern

Basic Concept of Time, Speed, and Distance

Speed is the rate of distance covered in one hour. The relationship among time, speed, and distance is given by $\boxed{\text{Distance = Speed} \times {\text{Time}}}$

List of Important IPMAT time, speed, and distance formulas:

Having a clear grip on formulas is essential, but the real advantage comes when you can recall and apply them instantly during the exam. The table below includes all the important formulas used in Time, Speed and Distance questions for IPMAT.

1. Basic Time, Speed, Distance Formulas

2. Unit Conversion

3. Average Speed Formulas

4. Relative Speed

5. Train Problems

6. Boats and Streams

7. Circular Track Formulas

8. Clock Formulas

Now, here comes a common question:

Is Time, Speed and Distance easy for IPMAT?

The topic is considered easy to moderate. With proper understanding of formulas, shortcuts, and regular practice, most questions can be solved quickly and accurately.

Approaches to solve IPMAT Time Speed Distance Questions:

Time, speed, and distance questions can be solved using the formulas discussed above directly. But with help of smart techniques that we are going to discuss in this section, you will be able to solve IPMAT TSD questions in more effective ways:

1. Using Ratio and Proportion:

The method is to use ratio and proportion.

Speed is indirectly proportional to distance which gives

$\boxed{\frac{S_1}{S_2}=\frac{T_2}{T_1}}$

Example: If speed gets four times, time becomes one fourth keeping the distance the same.

2. Finding change in time using percentage:

• Percentage decrease in Time taken $= \frac{x}{100 + x} \times 100$ when speed increases by $x \%$

• Percentage increase in Time taken $= \frac{x}{100 - x} \times 100$ when speed decreases by $x \%$

Using the concept of percentage and ratio, IPMAT TSD questions can be solved in minimum time with accuracy. To understand how to solve TSD for IPMAT 2026, following points will be useful:

1. Identify the given parameters in the question and what needs to be calculated.

2. Use the appropriate formula.

3. Check the units of distance, speed, and time. For instance, if distance is given in metres then speed should be taken in metres per second.

4. Avoid calculation mistakes.

5. Use estimation and elimination.

This structured approach will boost your confidence in IPMAT Time speed and distance questions.

IPMAT TSD Important Questions

While preparing TSD for IPMAT, divide questions in two categories: Basic and Advanced. Start preparing with basic questions to build fundamentals. Below are some IPMAT TSD important questions with solutions.

Question 1: A car travels 270 km in 5 hours. What is its speed in metres per second?
Solution:
$\text{Speed} = \frac{\text{Distance}}{\text{Time}}$
$= \frac{270}{5}$ km/hr
$= \frac{270}{5} \times \frac{5}{18}$ m/s
$= \frac{270}{18} = 15$ m/s
Answer: 15 m/s

Question 2: A train 150 m long crosses another train in 10 seconds. Find the length of the other train if both are approaching each other with speed of 36 km/hr and 72 km/hr.
Solution:
$T = \dfrac{l_1 + l_2}{s_1 + s_2}$

$s_1 = 36$ km/hr $= 36 \times \frac{5}{18} = 10$ m/s
$s_2 = 72$ km/hr $= 72 \times \frac{5}{18} = 20$ m/s

$l_1 = 150$ m

$10 = \dfrac{150 + l_2}{10 + 20}$
$10 = \dfrac{150 + l_2}{30}$
$300 = 150 + l_2$
$l_2 = 150$ m

Answer: 150 m

Question 3: A boat goes 40 km downstream in 2.5 hours and returns upstream in 4 hours. Find the speed of the boat in still water and the stream.
Solution:
Downstream speed $= \frac{40}{2.5} = 16$ km/hr
Upstream speed $= \frac{40}{4} = 10$ km/hr

Speed of boat in still water $= \frac{16 + 10}{2} = 13$ km/hr
Speed of stream $= \frac{16 - 10}{2} = 3$ km/hr

Answer: Boat speed = 13 km/hr, Stream speed = 3 km/hr

Question 4: A car covers a certain distance at 62 km/hr and returns at 38 km/hr. Find the average speed of the car over the entire journey.
Solution:
$\text{Average Speed} = \frac{2 s_1 s_2}{s_1 + s_2}$

$= \frac{2 \times 62 \times 38}{62 + 38}$
$= \frac{4712}{100} = 47.12$ km/hr

Answer: 47.12 km/hr

Question 5: If the speed of a car is increased by 40%, by what percentage will the time taken by the car be reduced?
Solution:
Percentage decrease in time $= \frac{x}{100 + x} \times 100$

$= \frac{40}{140} \times 100 = 28.57%$

Answer: 28.57%

Question 6: Two persons start from the same point and move in the same direction at 13 km/hr and 9 km/hr at the same time. How much time will the faster person take to be 3200 metres ahead of the slower person?
Solution:
Relative speed $= 13 - 9 = 4$ km/hr

Distance $= 3200$ m $= 3.2$ km

Time $= \frac{3.2}{4} = 0.8$ hours

$0.8 \times 60 = 48$ minutes

Answer: 0.8 hours or 48 minutes

Question 7: A man travels a distance of 120 km at a speed of 40 km/hr and returns at a speed of 60 km/hr. Find his average speed for the whole journey.

Solution: Average speed for equal distances:
$\text{Average Speed} = \frac{2 s_1 s_2}{s_1 + s_2}$

$= \frac{2 \times 40 \times 60}{40 + 60}$
$= \frac{4800}{100} = 48$ km/hr

Answer: 48 km/hr

Question 8: Two trains of lengths 150 m and 100 m are moving in opposite directions at speeds of 45 km/hr and 55 km/hr respectively. In how much time will they cross each other?

Solution: Total length $= 150 + 100 = 250$ m

Relative speed $= 45 + 55 = 100$ km/hr
$= 100 \times \frac{5}{18} = \frac{500}{18}$ m/s

Time $= \frac{\text{Total Length}}{\text{Relative Speed}}$
$= \frac{250}{500/18} = \frac{250 \times 18}{500} = 9$ seconds

Answer: 9 seconds

Question 9: A boat goes 30 km downstream in 2 hours and returns upstream in 3 hours. Find the speed of the boat in still water.

Solution: Downstream speed $= \frac{30}{2} = 15$ km/hr
Upstream speed $= \frac{30}{3} = 10$ km/hr

Speed of boat in still water
$= \frac{15 + 10}{2} = \frac{25}{2} = 12.5$ km/hr

Answer: 12.5 km/hr

Question 10: A car increases its speed by 25% and takes 2 hours less to cover a certain distance. Find the original time taken.

Solution: Let original speed $= S$
New speed $= 1.25S = \frac{5}{4}S$

Time is inversely proportional to speed

New time $= \frac{4}{5}T$

$T - \frac{4}{5}T = 2$
$\frac{1}{5}T = 2$
$T = 10$ hours

Answer: 10 hours

Question 11: Two persons start from the same point in the same direction at speeds of 6 km/hr and 10 km/hr. After how much time will they be 20 km apart?

Solution: Relative speed $= 10 - 6 = 4$ km/hr

Time taken $= \frac{20}{4} = 5$ hours

Answer: 5 hours

Question 12: A train 200 m long crosses a platform 300 m long in 25 seconds. Find the speed of the train.

Solution: Total distance = $200 + 300 = 500$ m

Speed = $\frac{500}{25} = 20$ m/s

Convert to km/hr:

$20 \times \frac{18}{5} = 72$ km/hr

Answer: 72 km/hr

Question 13: A person travels one-third of a distance at 30 km/hr and the remaining distance at 60 km/hr. Find the average speed.

Solution: Let total distance = $3d$

Time taken:

First part = $\frac{d}{30}$
Second part = $\frac{2d}{60} = \frac{d}{30}$

Total time = $\frac{d}{30} + \frac{d}{30} = \frac{2d}{30} = \frac{d}{15}$

Average speed:

$\frac{3d}{d/15} = 45$ km/hr

Answer: 45 km/hr

Question 14: If the speed of a car is increased by 40%, by what percentage will the time taken by the car be reduced?
Solution: Percentage decrease in time $= \frac{x}{100 + x} \times 100$

$= \frac{40}{140} \times 100 = 28.57%$

Answer: 28.57%

Question 8: A man walks at 5 km/hr and is 10 minutes late. If he walks at 6 km/hr, he is 5 minutes early. Find the distance he has to cover.
Solution: Let distance $= D$

Time difference $= 10 + 5 = 15$ minutes $= \frac{1}{4}$ hour

$\frac{D}{5} - \frac{D}{6} = \frac{1}{4}$

Taking LCM:
$\frac{6D - 5D}{30} = \frac{1}{4}$

$\frac{D}{30} = \frac{1}{4}$
$D = \frac{30}{4} = 7.5$ km

Answer: 7.5 km

Here are more IPMAT 2026 TSD questions and answers for self-practice.

Question 1: A cyclist covers 90 km in 3 hours. Find his speed in m/s.
Answer: $\frac{25}{3}$ m/s

Question 2: A train moving at 54 km/hr crosses a man standing on a platform in 13 seconds. Find the length of the train.
Answer: 117 metres

Question 3: Two cars are 240 km apart and move in the same direction. The slower car is ahead initially. After how much time will the faster car be 20 km ahead of the slower car if their speeds are 50 km/hr and 40 km/hr?
Answer: 26 hours

Question 4: A person reduces his speed to 60% of his original speed. By what percentage does his travel time increase?
Answer: 37.5%

Question 5: A man travels a certain distance at 30 km/hr and returns at 20 km/hr. If the total time taken for the journey is 10 hours, find the distance.
Answer: 120 km

Question 6: A car covers one-fourth of a journey at 25 km/hr, one-third at 20 km/hr, and the remaining distance at 40 km/hr. Find the average speed of the car for the entire journey.
Answer: 27 km/hr approx

Question 7: A train 200 m long is running at 72 km/hr. In how much time will it cross a platform 300 m long?
Answer: 25 seconds

Question 8: A boat can travel at 12 km/hr in still water. If the speed of the stream is 3 km/hr, find the time taken to go 45 km downstream.
Answer: 3 hours

Question 9: Two trains running in opposite directions at 60 km/hr and 90 km/hr cross each other in 12 seconds. Find the total length of the two trains.
Answer: 500 metres

Question 10: A person walks at 4 km/hr and reaches his destination 15 minutes late. If he walks at 5 km/hr, he reaches 10 minutes early. Find the distance to the destination.
Answer: 5 km

What you need to do:

Practice similar questions first from a good book like Arun Sharma for quantitative aptitude for CAT. After this you need to increase the difficulty level to build confidence in TSD questions.

Quick Tricks to Solve Time, Speed and Distance Questions Faster

In IPMAT, solving fast is not about doing more calculations, it is about doing fewer steps with the right approach. Most Time, Speed and Distance questions follow fixed patterns, so if you identify the type early, you can apply shortcuts instead of lengthy formulas.

Calculation Shortcuts for IPMAT

The idea is to simplify before solving. Instead of directly applying formulas, look for ways to reduce calculation.This approach helps you save time and avoid calculation errors.

Ratio Method

The ratio method is one of the fastest ways to solve Time, Speed and Distance questions, especially when speed or time is changing.

Key concept:

Instead of calculating actual values, just compare ratios.

Where to use:

• Same distance problems

• Speed comparison questions

• Questions with multiple people or journeys

This method is highly effective in IPMAT because many questions are built around proportional relationships.

Percentage-Based Shortcuts

Percentage-based thinking is useful when questions involve increase or decrease in speed or time.

Important insight:

• The change is inverse, not direct

• Always convert percentage into fraction for faster solving

Example thinking:
If speed increases by 25 percent, convert it to 5/4 and adjust time accordingly instead of doing full calculation.

Where to use:

• Speed increase or decrease

• Time reduction questions

• Efficiency-based problems

Common Patterns Asked in IPMAT Exams

Most IPMAT questions are not unique. They follow repeated patterns, and recognizing them can save a lot of time.

Repeated Question Types

These patterns appear regularly with slight variations.

How to Identify the Right Approach Quickly

Before solving, spend a few seconds identifying the structure of the question.

The key is to recognize first, then solve. This reduces unnecessary steps and helps you attempt more questions within the time limit.

Check out the detailed IPMAT 2026 Preparation Strategy: Study Plan, Time Management and Section-wise preparation tips PDF

Best Books for Time, Speed and Distance for IPMAT 2026 Preparation

Choosing the right books for Time, Speed and Distance can make a noticeable difference in your IPMAT preparation. Instead of using too many resources, it is better to focus on a few high-quality aptitude books that cover concepts clearly, provide exam-level practice, and help build speed. The books listed below are widely used by IPMAT aspirants and are effective for strengthening fundamentals as well as practicing advanced questions.

These books together help in covering concept clarity, shortcut techniques, and exam-level practice, which are essential for improving speed and accuracy in Time, Speed and Distance for IPMAT 2026.

Common Mistakes in Time Speed Distance

While solving the IPMAT arithmetic questions TSD, students generally make the mistakes discussed below and these mistakes are to be avoided.

• Students often forget to consider unit conversion

• In the questions of average speed, they calculate the average of speeds in place of average speed.

• Do mistakes while calculating relative speed

• Getting confused with upstream and downstream concepts

• Students often do mistakes in taking the total length in questions of trains

Preparation Tips for Time Speed Distance for IPMAT 2026

Time speed distance for IPMAT 2026, can be improved with the help of following expert tips:

A strong conceptual knowledge with short tricks will improve your speed in time speed distance for IPMAT 2026 and your performance definitely boost up. Follow the guidelines and preparation tips in this article and practice enough IPMAT 2026 TSD questions and answers to build confidence.

Stay tuned for further updates and new articles.

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You can also download and practice with IPMAT Mock Test Series PDF (5 Sets)

Related Quantitative Aptitude Topics

Explore other important Quantitative Aptitude topics that are frequently asked in IPMAT and help build a strong foundation for problem-solving. These topics complement Time, Speed and Distance and are essential for improving overall accuracy and speed in the exam.