Time Speed Distance Race Questions & Solutions For CAT Exam | Day 33

Time Speed Distance Race Questions & Solutions For CAT Exam | Day 33

Ongoing Event

CAT Application Date:01 Aug' 25 - 13 Sep' 25

Irshad AnwarUpdated on 19 Sep 2024, 01:59 PM IST

As the CAT 2024 exam date approaches, the pressure is high on every CAT aspirant. On November 24, the CAT exam 2024 for MBA admissions 2025–2027 will take place. Today, in this CAT 2024 60-day preparation guide series of Careers360, we will discuss the strategies for day 33 that can help you prepare well and crack the CAT entrance test 2024.

Time Speed Distance Race Questions & Solutions For CAT Exam | Day 33
CAT Preparation Strategy Day 33

This article includes time, speed, and distance race questions, linear race questions for the CAT exam, an introduction to Venn Diagram and Verbal analogies questions. Time, Speed and Distance race questions are tricky and students should do a thorough revision for the same. CAT Preparation 2024 in 60 days

Part-1: Quantitative Aptitude for CAT exam

CAT Exam Important Topic: Strategy to Prepare “Time, Speed and Distance (Linear Races and Circular Races) and time speed distance race questions.

Students can also download time speed and distance questions for cat pdf

Important Concept/Formula Used/Tricks in Linear and Circular Races Concept for CAT exam & Time speed distance race questions


  1. Linear Races for CAT entrance exam:

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  • A gives B a head start of x metre: it means at the start of the race B is x metre ahead of A.
  • A gives B a start of t seconds: It means A start the race after t second of B.
  • A beats B by x metres: A finishes the race before x metres than B.
  • A beats B t seconds: A finishes race t seconds before B.
  • Dead heat: All finish the race at the same time and at the same point.
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2. Circular Races for CAT 2024:

Circular Track formulas-

The questions asked in this concept are as follows:

  1. When do the two participants (speeds x and y) meet first anywhere on the track (length of the track is L)?

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  • Races problems shortcuts Trick: L/(x-y), when both are moving in the same direction.
  • L/(x+y), when both are moving in the opposite direction.
  1. How many times do the participants meet?

    • Races problems shortcuts Trick: (x-y), when both are moving in the same direction.
    • (x+y), when both are moving in the opposite direction.
    • Here, x: y should be in its simplest form
  2. When do they first time meet at the starting point or ending point?
    Circular Race questions shortcuts Trick: LCM (L/x, L/y)

3. Practice Sample papers and CAT Previous year questions.

Previous Year CAT Questions On Time, Speed Distance (Linear and Circular Races):

Q1. Mira and Amal walk along a circular track, starting from the same point at the same time. If they walk in the same direction, then in 45 minutes, Amal completes exactly 3 more rounds than Mira. If they walk in opposite directions, then they meet for the first time in exactly after 3 minutes. The number of rounds Mira walks in one hour is [TITA, CAT 2021, Slot 3]

Linear Races Questions for CAT Exam With Solution: Answer is 8.

Let Amal complete 1 round in x minutes and Mira complete the same in y minutes.

Since, Amal completes exactly 3 more rounds than Mira

So, 45/x – 45/y = 3

1/x−1/y = 1/15— (1)

If they walk in opposite directions, then they meet for the first time exactly after 3 minutes. It means, in 3 minutes, Amal and Mira together complete one round.

Therefore,

3/x+ 3/y= 1 — (2)

On solving both equations, we get y = 15/2

So, Meera requires 15/2 minutes to complete 1 round and hence will complete 8 rounds in an hour.

Circular Race Questions and Linear Races Questions for CAT Exam

Q2. In a car race, car A beats car B by 45 km, car B beats car C by 50 km, and car A beats car C by 90 km. The distance (in km) over which the race has been conducted is [CAT 2020, slot 2]

  1. 550
  2. 475
  3. 500
  4. 450

Time speed distance race questions with Solution: [4]

car A beats car B by 45 km

1696841508819

SA: SB = x/(x-45)

car B beats car C by 50 km

1696841509068

SB: SC = x/(x-50)

car A beats car C by 90 km

1696841508936

SA: SC = x/(x-90)

Also,

SA/ SC = (SA/ SB) x (SB/ SC)

So, x/(x-90) = [x/(x-45)] [ x/(x-50)]

On solving, we get x = 450 Kms.

Pre-requisite for time speed distance race questions

CAT study material: References to Study (Theory)

  • How to Prepare for Quantitative Aptitude for CAT by Arun Sharma (7th Edition; Pg No 335 to 339)
  • CAT Funda (YouTube, Link: https://www.youtube.com/watch?v=DgrnxHUDAqo)

References to Practice time speed distance race questions

Part 2: CAT 2024 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation)

CAT 2024 Syllabus Topic: Previous Year CAT questions for Venn Diagram” (Part-1) and Venn Diagram Questions

CAT Exam 2024: Important Venn Diagram Concepts

Start with Universal (A rectangle), Then a circle represents each set of values in the problem.

Where the circles overlap, the value belongs to more than one set.

1696841509275

CAT Exam:

CAT Past Year Venn Diagram Questions:

Q1. Each of the 74 students in a class studies at least one of the three subjects H, E and P. Ten students study all three subjects, while twenty study H and E, but not P. Every student who studies P also studies H or E or both. If the number of students studying H equals that studying E, then the number of students studying H is [CAT 2018]

Venn Diagram Questions for CAT:

According to information given in the question

1696841509168

According to given information:

a+ b+ c+ d+ 10 + 20 = 72

⇒ a+ b+ c+ d= 42

Also, a+ c+ 20 + 10 = b+ d+ 10+ 20

⇒ a+ c = b+ d

From above two equations;

2 (a+ c) = 42

⇒ a+ c = 21

Therefore, number of students studying H = a+ c+ 20 + 10 = 21+ 20+ 10 = 51.

CAT entrance exam: Prerequisite to Venn Diagram CAT Questions

Tips and Tricks for CAT

  • A thorough study of the basics of Venn Diagram .
  • Understand representations and Venn diagram formulas for 2-set, 3-set or 4- set Venn diagrams.
  • Practice CAT questions on Set theory and the Venn diagram.

CAT syllabus 2024: References to Study (Theory) Venn Diagram Concepts

  • Verbal and Non-Verbal Reasoning by B S Sijwali
  • CAT LRDI by Arun Sharma
  • Mission CAT (YouTube link: https://www.youtube.com/watch?v=HF2sY7ZBDcs)
  • CAT Exam

References to Study (Practice) Venn Diagram Questions

  • Verbal and Non-Verbal Reasoning by R S Agrawal.
  • CAT Previous year Papers and Sample Papers.
  • (YouTube; Link: https://www.youtube.com/watch?v=knClqCBHTsA)

Part-3: CAT Exam Preparation 2024: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)

CAT Exam Important Topic: Strategy to Prepare “Verbal Analogies”.

CAT Important Concepts

These pairs of words share some kind of relationship that must be deciphered.

Amongst four pairs, a pair of words share the same relationship with its pair as the pair given in the question.

CAT Previous Years' Questions on Verbal Analogies

Comprehension:

During the frigid season... it's often necessary to nestle under a blanket to try to stay warm. The temperature difference between the blanket and the air outside is so palpable that we often have trouble leaving our warm refuge. Many plants and animals similarly hunker down, relying on snow cover for safety from winter's harsh conditions. The small area between the snowpack and the ground called the subnivium... might be the most important ecosystem that you have never heard of.

The subnivium is so well-insulated and stable than its temperature holds steady at around 32 degrees Fahrenheit (0 degree Celsius). Although that might still sound cold, a constant temperature of 32 degrees Fahrenheit can often be 30 to 40 degrees warmer than the air temperature during the peak of winter. Because of this large temperature difference, a wide variety of species...depend on the subnivium for winter protection.

For many organisms living in temperate and Arctic regions, the difference between being under the snow or outside is a matter of life and death. Consequently, disruptions to the subnivium brought about by climate change will affect everything from population dynamics to nutrient cycling through the ecosystem.

The formation and stability of the subnivium require more than a few flurries. Winter ecologists have suggested that eight inches of snow are necessary to develop a stable layer of insulation. Depth is not the only factor, however. More accurately, the stability of the subnivium depends on the interaction between snow depth and snow density. Imagine being under a stack of blankets that are all flattened and pressed together. When compressed, the blankets essentially form one compacted layer. In contrast, when they are lightly placed on top of one another, their insulative capacity increases because the air pockets between them trap heat. Greater depths of low-density snow are therefore better at insulating the ground.

Both the depth and density of snow are sensitive to temperature. Scientists are now beginning to explore how climate change will affect the subnivium, as well as the species that depend on it. At first glance, warmer winters seem beneficial for species that have difficulty surviving subzero temperatures; however, as with most ecological phenomena, the consequences are not so straightforward. Research has shown that the snow season (the period when snow is more likely than rain) has become shorter since l970. When rain falls on snow, it increases the density of the snow and reduces its insulative capacity. Therefore, even though winters are expected to become warmer overall from future climate change, the subnivium will tend to become colder and more variable with less protection from the above-ground temperatures.

The effects of a colder subnivium are complex... For example, shrubs such as crowberry and alpine azalea that grow along the forest floor tend to block the wind and so retain higher depths of snow around them. This captured snow helps to keep soils insulated and in turn, increases plant decomposition and nutrient release. In field experiments, researchers removed a portion. of the snow cover to investigate the importance of the subnivium's insulation. They found that soil frost in the snow-free area resulted in damage to plant roots and sometimes even the death of the plant. [CAT 2017]

Verbal Analogies questions with solution

Q1: In paragraph 1, the author uses blankets as a device to

  1. evoke the bitter cold of winter in the minds of readers.

  2. explain how blankets work to keep us warm.

  3. draw an analogy between blankets and the snowpack.

  4. alert readers to the fatal effects of excessive exposure to the cold

Ans: [C]

From the 3rd and 4th paragraphs,

draw an analogy between blankets and the snow peaks

CAT 2024:

Prerequisite

  • Synonyms/ Antonyms
  • Vocabulary

Tips and Tricks for CAT Exam

  • Analogies are simple and fall into neat, distinguishable patterns. Understand these patterns quickly.
  • Practice analogies to get familiar with the patterns. This will help to identify the relations.
  • While solving an analogy question, look for the precise relationship.
  • Analogies involve exactness and precision in their solving.
  • It is also important to substitute the pair of words into sentences in the same order as they are given in. For example, “painter creates a painting” is correct and “a painting created by a painter” is incorrect and vice-versa.

CAT exam: References to Study (Theory)

CAT exam: References to Study (Practice)

  1. Mastering the Verbal Ability for CAT by Ajay
  2. CAT Previous years Papers and Sample Papers.

Free PDFs for CAT Preparation 2024

CAT 2023 Official Question Paper and Answer Key (Slot 1)


Click here to download

CAT 2023 Official Question Paper and Answer Key (Slot 3)


Click here to download


Practice and remain focused; Day 34 will be posted tomorrow.

Thank you! All the Best!

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Hello Amgothu

With 305 marks in ICAR PG and being from ST category, your chances of getting an AIEEA (CAT) seat is good, especially in plant sciences and less competitive subjects

Hello

As you said you by mistakenly done that,  you don't need to get worry regarding that ,

Just inform the help desk and carry the correct certifications , the state certificate will not disqualify you .

The steps you can follow is -

1. You can check if the correction window is available or not

2. Contact the CAT desk immediately.

Hope this helps

In CAT registration, you cannot create a new user ID with the same mobile number, even if you use a different email ID. Each mobile number and email can be linked to only one account. If you already registered once, the system will not accept a duplicate with that number. To register again, you must use a new mobile number and new email ID. If you lost your old login, you can recover it through the forgot password/user ID option on the CAT portal.



Yes, you can fill the CAT form even if you currently have a backlog. CAT eligibility requires you to be in your final year of graduation or already graduated backlogs don’t stop you from applying.

While filling the form:

  • Enter the aggregate percentage/CGPA of marks you have obtained up to the latest semester for which results are declared (in your case till 4th semester).

  • There will be an option to mention that you have a backlog.

  • If you clear the backlog later, you’ll just need to show the updated marks during admission.

Hello Aspirant,

Yes, you can apply for the CAT exam as a final-year student. You must declare your backlog on the online application form. You do not write about it on the final-year student certificate; that document is to certify your enrollment status. You must clear all backlogs before the final admission process to any MBA college.