Model 1 Train Vs Train in same 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 : 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 »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 TierI 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 »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 »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 TierI 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 »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 TierII 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 »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

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trains Shortcuts and Techniques with Examples

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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