# CAT 2018 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Speed Time Distance Questions | Question 23

This is an actual question from CAT 2018 Question Paper based on the topic Speed and Distance. This is one of those easy questions that you don't want to miss out. Practicing many such questions from CAT Previous Year Paper is the best way to gear up for the CAT Exam.Start right away!

Question 23 :Train T leaves station X for station Y at 3 pm. Train S, traveling at three quarters of the speed of T, leaves Y for X at 4 pm. The two trains pass each other at a station Z, where the distance between X and Z is three-๏ฌfths of that between X and Y. How many hours does train T take for its journey from X to Y? [TITA]

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##### Method of solving this CAT Question from Speed Time Distance

From question, XZ = 3d, YZ = 2d
As their speeds are in ratio 4:3
Let their speeds be 4V and 3V
Time (T to reach Z) = $$frac{3๐}{4๐ฃ}$ hrs ---$1)
Time (S to reach Z) = $$frac{2๐}{3๐ฃ}$ hrs ---$2)

We need to find the time taken for T To travel from X to Y
Time = $$frac{5d}{4v}$ Train S started one hour late than Train T => $\frac{3๐}{4๐ฃ}$ - 1 = $\frac{2๐}{3๐ฃ}$ Let $\frac{d}{v}$ = k $\frac{3}{4}$k - $\frac{2}{3}$k = 1 k = 12 So, $\frac{5๐}{4๐ฃ}$ = $\frac{5 × 12}{4}$ = 15 hours The question is "Train T leaves station X for station Y at 3 pm. Train S, traveling at three quarters of the speed of T, leaves Y for X at 4 pm. The two trains pass each other at a station Z, where the distance between X and Z is three-๏ฌfths of that between X and Y. How many hours does train T take for its journey from X to Y? [TITA]" ##### Hence, the answer is 15 hours ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Prepare for CAT 2024 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2024 Classroom Batches Starting Now! @Gopalapuram and @Anna nagar ###### Best CAT Coaching in Chennai Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ## CAT Questions | CAT Quantitative Aptitude ## 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? Mobile:$91) 99626 48484 / 94459 38484
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