Model 1 Train Vs Train in same 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 : A boy started from his house by bicycle at 10 a.m. at a speed of 12 km per hour. His elder brother started after 1 hr 15 mins by scooter along the same path and caught him at 1.30 p.m. The speed of the scooter will be (in km/hr)

(a) 36

(b) 18$2/3$

(c) 9

(d) 4.5

The correct answers to the above question in:

Answer: (b)

Let the speed of Scooter be x Distance covered by cycling in 3$1/2$ hours

= Distance covered by scooter in 2$1/4$ hours

$12 × 7/2 = x × 9/4$

$x = {12 × 7 × 2}/9$

= $56/3 = 18{2}/3$ kmph

Practice trains (Model 1 Train Vs Train in same 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 same direction Based Quantitative Aptitude Questions and Answers

Question : 1

Two trains start from stations A and B and travel towards each other at speeds of 50 kmph and 60 kmph respectively. At the time of their meeting, the second train has travelled 120 km more than the first. The distance between A and B is

a) 1440 km

b) 1320 km

c) 990 km

d) 1200 km

Answer: (b)

Let both trains meet after t hours.

Distance = speed × time

60t – 50t = 120

10t = 120 ⇒ t = 12 hours

Required distance

= 60t + 50t

= 110t = 110 × 12 = 1320 km

Question : 2

Two trains of equal length are running on parallel lines in the same direction at 46 km/hour and 36 km/hour. The faster train passes the slower train in 36 seconds. The length of each train is

a) 80 m

b) 82 m

c) 50 m

d) 72 m

Answer: (c)

Let the length of each train be x metre.

Relative speed

= (46 – 36) kmph = 10 kmph

= $({10 × 5}/18)$ m./sec.

= $25/9$ m./sec.

${2x}/{25/9} = 36$

$2x = 36 × 25/9$ = 100

$x = 100/2$ = 50 metre

Question : 3

How much time does a train, 50 m long, moving at 68 km/ hour take to pass another train, 75 m long, moving at 50 km/ hour in the same direction ?

a) 10 seconds

b) 20 seconds

c) 25 seconds

d) 5 seconds

Answer: (c)

Both trains are moving in the same direction.

Their relative speed

= (68 – 50) kmph = 18 kmph

= 18 × $5/8$ = 5 m/sec

Total length

= 50 + 75 = 125 m

Required time

= $\text"Total length"/ \text"Relative speed"$

= $125/5$ = 25 seconds.

Question : 4

The distance between two places A and B is 60 km. Two cars start at the same time from A and B, travelling at the speeds of 35 km/h and 25 km/h, respectively. If the cars run in the same direction, then they will meet after ( in hours)

a) 6.2

b) 6

c) 6.52

d) 6.5

Answer: (b)

Let both cars meet at C after t hours.

Distance covered by car A

= AC = 35t km

Distance covered by car B

= BC = 25t km

AC – BC = AB = 60 km.

35t – 25t = 60

10t = 60

t = $60/10$ = 6 hours

Question : 5

Two trains 180 metres and 120 metres in length are running towards each other on parallel tracks, one at the rate 65 km/ hour and another at 55 km/hour. In how many seconds will they be clear of each other from the moment they meet ?

a) 9

b) 12

c) 15

d) 6

Answer: (a)

Required time

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

Relative speed = 65 + 55 = 120 kmph

= ${120 × 5}/18$ m/sec

Required time = ${180 + 120}/{{120 × 5}/18}$

= ${300 × 18}/{120 × 5}$ = 9 seconds

Question : 6

A passenger train running at the speed of 80 kms./hr leaves the railway station 6 hours after a goods train leaves and overtakes it in 4 hours. What is the speed of the goods train?

a) 50 kmph

b) 45 kmph

c) 64 kmph

d) 32 kmph

Answer: (d)

Let the speed of goods train be x kmph.

Distance covered by goods train in 10 hour = distance covered by passenger train in 4 hours

10x = 80 × 4

$x = {80 × 4}/10$ = 32 kmph.

Recently Added Subject & Categories For All Competitive Exams

Classification Reasoning MCQ For IBPS Clerk Prelims 2024

Most Important 100+ Classification based Verbal Reasoning Ability Multiple choice questions and answers PDF, Free New Mock tests For IBPS Clerk Prelims 2024

03-May-2024 by Careericons

Continue Reading »

Ratio and Proportion Questions with Solutions, IBPS Clerk

New Ratio and Proportion Quants Aptitude based Multiple Choice Questions and Answers Practice Test Series, Quiz & Mock Test for IBPS Clerk Prelims 2024 Exam

02-May-2024 by Careericons

Continue Reading »

Top Analogy Reasoning Ability For IBPS Clerk Prelims 2024

Most Important Analogy based Verbal Reasoning Multiple choice questions and answers practice quiz series PDF, Free New Mock tests For IBPS Clerk Prelims 2024

01-May-2024 by Careericons

Continue Reading »

SSC STENO: Mensuration Area & Volume Questions Test PDF

Free Mensuration Area and Volume Aptitude-based Practice multiple questions with solutions, Quiz, Full Mock Test & PDF for SSC Steno (Grade C & D) 2024 Exam

30-Apr-2024 by Careericons

Continue Reading »