Model 2 Train Vs Train in opposite direction Practice Questions Answers Test with Solutions & More Shortcuts
trains PRACTICE TEST [6 - 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
Question : 11 [SSC CGL Prelim 2003]
Two trains are running in opposite direction with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, the speed of each train (in km/hour) is
a) 10
b) 36
c) 18
d) 72
Answer »Answer: (b)
Using Rule 3,
Let the speed of each train be x kmph.
Their relative speed
= x + x = 2x kmph.
Time taken
= $\text"Total length of trains"/\text"Relative Speed"$
= $12/{60 × 60} = {240 × {1/1000}}/{2x}$
= $1/300 = 120/{1000x}$
$x = {300 × 120}/1000$ = 36
The required speed = 36 kmph.
Question : 12 [SSC CHSL 2013]
Two trains, each of length 125 metre, are running in parallel tracks in opposite directions. One train is running at a speed 65 km/hour and they cross each other in 6 seconds. The speed of the other train is
a) 85 km/hour
b) 95 km/hour
c) 105 km/hour
d) 75 km/hour
Answer »Answer: (a)
Using Rule 3,
Total length of both trains = 250 metres
Let speed of second train =x kmph
Relative speed = (65 + x) kmph
= (65 + x) × $5/18$ m/sec
Time
= $\text"Sumof length of trains"/ \text"Relative speed"$
6 = $250/{(65 + x) × 5/18$
$6 × 5/18 × (65 + x)$ = 250
65 + x = ${250 × 3}/5$
65 + x = 150
x = 150 - 65 = 85 kmph
Question : 13 [SSC CGL Prelim 2004]
Two trains of equal length take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction ?
a) 15
b) 12
c) 10
d) 16
Answer »Answer: (b)
Using Rule 3,
When a train crosses a telegraph post, it covers its own length.
Speed of first train
= $120/10$ = 12 m/sec.
Speed of second train
= $120/15$ = 8 m/sec.
Relative speed
= 12 + 8 = 20 m/sec.
Required time
= $\text"Total length of trains"/ \text"Relative speed"$
= ${2 × 120}/20$ = 12 seconds.
Question : 14 [SSC CGL Prelim 2004]
Two trains 140 m and 160 m long run at the speed of 60 km/ hour and 40 km/hour respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is :
a) 10.8 sec.
b) 9 sec.
c) 9.6 sec.
d) 10 sec.
Answer »Answer: (a)
Using Rule 3,
Total length of trains
= 140 + 160 = 300 m.
Relative speed
= 60 + 40 = 100 kmph
= 100 × $5/18$ m/sec. or $250/9$ m/sec.
Time taken to cross each other
= $300/{250/9} = {300 × 9}/250 = 10.8$ sec.
Question : 15 [SSC CPO S.I.2006]
A man standing on a platform finds that a train takes 3 seconds to pass him and another train of the same length moving in the opposite direction, takes 4 seconds. The time taken by the trains to pass each other will be
a) 3$3/7$ seconds
b) 4$3/7$ seconds
c) 5$3/7$ seconds
d) 2$3/7$ seconds
Answer »Answer: (a)
Let the length of each train be x metres
Then, Speed of first train = $x/3$ m/sec
Speed of second train = $x/4$ m/sec
They are moving in opposite directions
Relaive speed = $x/3 + x/4$
= ${4x + 3x}/12 = {7x}/12$ m/sec.
Total length = x + x = 2 x m.
Time taken = ${2x}/{{7x}/12}$
= $24/7 = 3{3}/7$ sec.
IMPORTANT quantitative aptitude EXERCISES
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Top 399+ Trains Based Time and Distance MCQs For BANK SSC »
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New 500+ Aptitude Problems on Train For All BANK SSC Exam »
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Top 499+ Aptitude MCQs on Trains Crossing Bridge/Platform »
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New 500+ Aptitude MCQs on Train Crossing Pole/Post or Man »
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Top 499+ Trains Problems Using Time and Distance For SSC »
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Top 489+ Time And Distance MCQ Problems on Train For BANK »
Model 2 Train Vs Train in opposite direction Shortcuts »
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Click to Start..trains Shortcuts and Techniques with Examples
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Model 1 Train Vs Train in same direction
Defination & Shortcuts … -
Model 2 Train Vs Train in opposite direction
Defination & Shortcuts … -
Model 3 Train Vs Bridge/Platform
Defination & Shortcuts … -
Model 4 Train Vs Pole/Signal Post/Man
Defination & Shortcuts … -
Model 5 Train Vs Both platform and a man/a pole
Defination & Shortcuts … -
Model 6 Change in speed Vs Change with time travel
Defination & Shortcuts …
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