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 : 16 [SSC MTS 2013]
Two trains 150 m and 120 m long respectively moving from opposite directions cross each other in 10 secs. If the speed of the second train is 43.2 km/hr, then the speed of the first train is
a) 50 km/hr
b) 52 km/hr
c) 51 km/hr
d) 54 km/hr
Answer »Answer: (d)
Using Rule 3,
Speed of second train = 43.2 kmph
= ${43.2 × 5}/18$ m/sec. or 12 m/sec.
Let the speed of first train be x m per second, then
${150 + 120}/{x + 12}$ = 10
27 = + x 12
x = 15 m/s
= 15 × $18/5$ kmph = 54 kmph
Question : 17 [SSC CGL Tier-I 2014]
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 »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
Question : 18 [SSC CISF ASI 2010]
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 »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 : 19 [SSC CHSL 2014]
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 »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 : 20 [SSC CGL Prelim 1999]
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.
Answer »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.
IMPORTANT quantitative aptitude EXERCISES
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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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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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