CAT Quantitative Aptitude Questions | CAT Time Speed and Distance & Races

CAT Questions | Time and distance | Races
× CAT Questions
CAT Quantitative Aptitude
HCF and LCM Factors Remainders Factorials Digits Ratios,Mixtures;Averages Percents; Profits; SICI Logarithms and Exponents Pipes,Cisterns; Work,Time Set Theory Geometry Coordinate Geometry Mensuration Trigonometry Linear & Quadratic Equations Functions Inequalities Polynomials Progressions Permutation Probability
CAT Verbal
Para Jumble Sentence Correction Sentence Elimination Paragraph Completion Reading Comprehension Critical Reasoning Word Usage Para Summary Text Completion
DI LR: Bar Graphs DI LR: Pie Charts DI LR: Multiple Graphs DI LR: Word Problems DI LR: Line Graphs DI LR: Sequencing DI LR: Grid Puzzles DI LR: Math Puzzles DI LR: Visualization DI LR: Other Patterns DI LR: CAT 2017 Cet DI LR: CAT 2017 Rural Survey DI LR: CAT 2017 Happiness DI LR: CAT 2017 Airlines DI LR: CAT 2017 Travel Route DI LR: CAT 2017 Food Delivery DI LR: CAT 2017 Square Layout DI LR: CAT 2017 Team Project DI LR: CAT 2017 Assets DI LR: CAT 2017 Pizza DI LR: CAT 2017 Electives DI LR: CAT 2017 Chess DI LR: CAT 2017 Dorms DI LR: CAT 2017 Tea DI LR: CAT 2017 Friends DI LR: CAT 2017 Security Scan
CAT Online Coaching
CAT Question MenuCAT Questions

The question is from the topic races. The question is about a race between three persons and their respective speeds. Time Speed and Distance is a favorite in CAT Exam, and appears more often than expected in the CAT Quantitative Aptitude section in the CAT Exam

Question 17: Amar, Akbar and Antony decide to have a 'x' m race. Antony completes the race 14 m ahead of Amar. Akbar finishes 20 m ahead of Antony and 32 m ahead of Amar. What is Amar’s speed?

  1. 9/10th of Antony's speed
  2. 5/8th of Akbar's speed
  3. 14/15th of Antony's speed
  4. 10/7th of Akbar's speed

🎯 Huge Discount: 3,500 off on Online CAT Course. Till June 1. Register now!

2IIM : Best Online CAT Coaching.

Best CAT Coaching in Chennai

CAT Coaching in Chennai - CAT 2020
Online Batches Available Now!

Explanatory Answer

Method of solving this CAT Question from Races:Compare Amar's and Antony's speeds at 2 instances - when Antony completes and when Akbar completes!

When Antony completes, Amar would have run (x – 14) m; Time taken is the same
Ratio of Amar’s speed : Antony’s speed = \\frac{x-14}{t1}\\) : \\frac{x}{t1}\\) or \\frac{x-14}{x}\\) ---- (1)

When Akbar finishes, Amar would have run (x – 32) m; Antony would have run (x – 20) m; Time taken is the same

At this point, the ratio of Amar’s speed : Antony’s speed = \\frac{x-32}{t2}\\) : \\frac{x-20}{t2}\\) or \\frac{x-32}{x-20}\\) ---- (2)
Equating (1) and (2), we get
\\frac{x-14}{x}\\) = \\frac{x-32}{x-20}\\)
x2 – 34x + 280 = x2 – 32x
2x = 280
Or x = 140 m
Ratio of Amar’s speed : Antony’s speed = \\frac{(140-14)}{140}\\) = \\frac{126}{140}\\) = \\frac{9}{10}\\)

The question is "What is Amar’s speed?"

Hence, Amar's Speed is 9/10th of Antony's Speed

Choice A is the correct answer.


CAT Preparation Online | CAT Arithmetic Videos On YouTube

Other useful sources for Arithmetic Question | Time Speed Distance and Races Sample Questions

CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

CAT Questions | Verbal Ability for CAT

Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now