Model 1 Train Vs Train in same direction Practice Questions Answers Test with Solutions & More Shortcuts

Question : 1 [SSC CHSL 2012]

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

a) 50 m

b) 80 m

c) 72 m

d) 82 m

Answer: (a)

Let the length of each train be x metre.

Relative speed

= 46 – 36 = 10 kmph

= ${10 × 5}/18$ metre/second

= $25/9$ metre/second

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

2x = ${36 × 25}/9 = 100$

x = 50 metre

Question : 2 [SSC CGL Tier-I 2014]

Two trains 125 metres and 115 metres in length, are running towards each other on parallel lines, one at the rate of 33 km/ hr and the other at 39 km/hr. How much time (in seconds) will they take to pass each other from the moment they meet ?

a) 10

b) 12

c) 15

d) 8

Answer: (b)

Relative speed

= (33 + 39) kmph = 72 kmph

= $({72 × 5}/18)$ m/sec. = 20 m/sec.

Time taken in crossing

= $\text"Length of both trains"/ \text"Relative speed"$

= ${125 + 115}/20 = 240/20$

= 12 seconds

Question : 3 [SSC MTS 2013]

A goods train starts running from a place at 1 P.M. at the rate of 18 km/hour. Another goods train starts from the same place at 3 P.M. in the same direction and overtakes the first train at 9 P.M. The speed of the second train in km/hr is

a) 30

b) 15

c) 18

d) 24

Answer: (d)

Distance covered by the first goods train in 8 hours = Distance covered by the second goods train in 6 hours.

18 × 8 = 6 × x

$x = {18 × 8}/6 = 24$ kmph

Question : 4 [SSC CGL Tier-I 2016]

Two trains start from a certain place on two parallel tracks in the same direction. The speed of the trains are 45 km/hr. and 40 km/ hr respectively. The distance between the two trains after 45 minutes will be

a) 2.75 km.

b) 3.7 km.

c) 3.75 km.

d) 2.5 km.

Answer: (c)

Relative speed = 45 – 40 = 5 kmph.

Gap between trains after 45 minutes

= $(5 × 45/60)$ km. = 3.75 km.

Question : 5 [SSC CGL Tier-II 2016]

A train 'B' speeding with 100 kmph crosses another train C, running in the same direction, in 2 minutes. If the length of the train B and C be 150 metre and 250 metre respectively, what is the speed of the train C (in kmph)?

a) 88

b) 95

c) 110

d) 75

Answer: (a)

Let the speed of train C be x kmph.

Relative speed of B

= (100 – x ) kmph.

Time taken in crossing

= $\text"Length of both trains"/ \text"Relative speed"$

$2/60 = {({150 + 250}/1000)}/{100 – x}$

$1/30 = 2/{5(100 – x)}$

$1/6 = 2/{100 – x}$

100 – x = 12

x = 100 – 12 = 88 kmph.

IMPORTANT quantitative aptitude EXERCISES

Model 1 Train Vs Train in same direction Shortcuts »

Click to Read...

Model 1 Train Vs Train in same direction Online Quiz

Click to Start..

Recently Added Subject & Categories For All Competitive Exams

New 100+ Compound Interest MCQ with Answers PDF for IBPS

Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams

02-Jul-2024 by Careericons

Continue Reading »

100+ Mixture and Alligation MCQ Questions PDF for IBPS

Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams

02-Jul-2024 by Careericons

Continue Reading »

IBPS Profit and Loss Questions Solved Problems with PDF

Most important Profit and Loss multiple choice questions and answers with PDF for IBPS RRB PO. 100+ Aptitude MCQ Practice Exercises all competitive exams

28-Jun-2024 by Careericons

Continue Reading »

100+ Average Aptitude Questions Answers solutions MCQ PDF

New Average multiple choice questions and answers with PDF for IBPS RRB PO. 100+ Quantitative Aptitude MCQ Practice Exercises all competitive exams

28-Jun-2024 by Careericons

Continue Reading »