Model 2 Train Vs Train in opposite direction Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 6 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on trains topic of quantitative aptitude

Questions : The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time do they meet?

(a) 10 : 30 a.m.

(b) 11 a.m.

(c) 11 : 30 a.m.

(d) 10 a.m.

The correct answers to the above question in:

Answer: (b)

Distance travelled by first train in one hour

= 60 × 1 = 60km

The given distance between two cities A and B is 330 km.

Therefore, distance between two train at 9 a.m.

= 330 - 60 = 270 km

Now, Relative speed of two trains

= 60 + 75 = 135 km/hr

Time of meeting of two trains

= $270/135$ = 2 hrs.

Therefore, both the trains will meet at

9 + 2 = 11 A.M.

Read more questions on trains problems of trains in opposite direction Click Here »

Practice trains (Model 2 Train Vs Train in opposite direction) Online Quiz

Discuss Form

Valid first name is required.
Please enter a valid email address.
Your genuine comment will be useful for all users! Each and every comment will be uploaded to the question after approval.

Read more trains in opposite direction Based Quantitative Aptitude Questions and Answers

Question : 1

Two trains 108 m and 112 m in length are running towards each other on the parallel lines at a speed of 45 km/hr and 54 km/ hr respectively. To cross each other after they meet, it will take

a) 9 sec

b) 8 sec

c) 10 sec

d) 12 sec

Answer: (b)

Using Rule 3,

Relative speed

= 45 + 54 = 99 kmph

= $(99 × 5/18)$ m/sec. or $55/2$ m/sec.

Required time = ${108 + 112}/{55/2}$

= ${220 × 2}/55 = 8$ seconds

Question : 2

Two trains of length 137 metre and 163 metre are running with speed of 42 km/hr and 48 km/hr respectively towards each other on parallel tracks. In how many seconds will they cross each other?

a) 24 sec

b) 12 sec

c) 10 sec

d) 30 sec

Answer: (b)

Using Rule 3,

Relative speed

= 42 + 48 = 90 kmph

= $({90 × 5}/18)$ m/s = 25 m/s

Sum of the length of both trains

= 137 + 163 = 300 metres

Required time = $300/25$ = 12 seconds

Question : 3

A train, 150m long, passes a pole in 15 seconds and another train of the same length travelling in the opposite direction in 12 seconds. The speed of the second train is

a) 48 km/hr

b) 52 km/hr

c) 54 km/hr

d) 45 km/hr

Answer: (c)

Using Rule 3,

Let the speed of the second train be x m/s

Speed of first train

= $150/15$ = 10 m/sec

Relative speed of trains

= (x + 10) m/s

Total distance covered

= 150 + 150 = 300 metre

Time taken = $300/{x + 10}$

$300/{x + 10}$ = 12

12x + 120 = 300

12x = 300 - 120 = 180

x = $180/12$ = 15 m/s

= ${15 × 18}/5$ or 54 kmph.

Question : 4

Two trains X and Y start from Jodhpur to Jaipur and from Jaipur to Jodhpur respectively. After passing each other they take 4 hours 48 minutes and 3 hours 20 minutes to reach Jaipur and Jodhpur respectively. If X is moving at 45 km/hr, the speed of Y is

a) 58 km/hr

b) 54 km/hr

c) 64.8 km/hr

d) 60 km/hr

Answer: (b)

Using Rule 11,Two trains A and B, run from stations X to Y and from Y to X with the speed '$S_A$' and '$S_B$' respectively. After meeting with each other. A reached at Y after '$t_A$' time and B reached at X after '$t_B$' time. Then Ratio of speeds of trains,$S_A/S_B = √{t_B/t_A}$

 

$\text"Speed of X"/\text"Speed of Y"$

= $√\text"Time taken by Y"/\text"Time taken by X"$

$45/y = √\text"3 hours 20 min"/\text"4 hours 48 min"$

$45/y = √\text"200 minutes"/\text"288 minutes" = 10/12$

10y = 12 × 45

$y = {12 × 45}/10$ = 54 kmph

Question : 5

Two trains of length 70 m and 80 m are running at speed of 68 km/hr and 40 km/hr respectively on parallel tracks in opposite directions. In how many seconds will they pass each other ?

a) 8 sec

b) 5 sec

c) 3 sec

d) 10 sec

Answer: (b)

Using Rule 3,

Relative speed

= (68 + 40) kmph = 108 kmph

= $({108 × 5}/18)$ m/s or 30 m/s

Required time

= $\text"Sum of the lengths of both trains"/ \text"Relative speed"$

= $({70 + 80}/30)$ second = 5 seconds

Question : 6

A train running at the speed of 84 km/hr passes a man walking in opposite direction at the speed of 6 km/hr in 4 seconds. What is the length of train (in metre) ?

a) 120

b) 100

c) 90

d) 150

Answer: (b)

Using Rule 6,
Let 'a' metre long train is running with the speed 'x' m/s. A man is running in the opposite direction of train with the speed of 'y' m/s. Then, time taken by the train to cross the man = $(a/{(x + y)})$seconds.

Relative speed

= (84 + 6) = 90 kmph

= $(90 × 5/18)$ m/sec. = 25 m/sec.

Length of train

= Relative speed × Time

= 25 × 4 = 100 metre

Need More Mcqs on trains of Model 2 Train Vs Train in opposite direction Click Here »
GET trains PRACTICE TEST EXERCISES

Model 1 Train Vs Train in same direction

Model 2 Train Vs Train in opposite direction

Model 3 Train Vs Bridge/Platform

Model 4 Train Vs Pole/Signal Post/Man

Model 5 Train Vs Both platform and a man/a pole

Model 6 Change in speed Vs Change with time travel
trains Shortcuts and Techniques with Examples
Verbal Reasoning
Question & Answer Quiz
Non Verbal Reasoning
Question & Answer Quiz
Quantitative Aptitude
Question & Answer Quiz
Computer MCQ
Question & Answer Quiz
General English
Question & Answer Quiz
History GK
Question & Answer Quiz
Polity GK
Question & Answer Quiz
Geography GK
Question & Answer Quiz
Economy GK
Question & Answer Quiz
General Awareness GK
Question & Answer Quiz

Recently Added Subject & Categories For All Competitive Exams

Most Important Antonyms Vocabulary - IBPS Clerk Prelims 2024

Latest Antonyms multiple choice questions and answers with free PDFfor IBPS Clerk Prelims 2024. English Vocabulary practice exercise for all bank exam

17-May-2024 by Careericons

Continue Reading »

Syllogism Practice Questions Answers PDF - IBPS Clerk 2024

Practice Verbal Reasoning Syllogism multiple choice questions and answers with Fully solved explanation, PDF for the IBPS Clerk Prelims 2024 Bank Exam

16-May-2024 by Careericons

Continue Reading »

IBPS Clerk Prelims 2024 Synonyms Questions Solved Answers

Most important IBPS Clerk Prelims 2024 Synonyms and Antonyms multiple choice questions and answers with detailed solutions, English vocabulary PDF Download

14-May-2024 by Careericons

Continue Reading »

New Cloze Test Questions and Answers PDF - IBPS Clerk 2024

The most important Cloze Test questions with detailed answers for upcoming IBPS Clerk prelims 2024. Latest English verbal ability practice MCQs, PDF

13-May-2024 by Careericons

Continue Reading »