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 : 1 [SSC CGL Prelim 2008]
A train travelling at 48 km/hr crosses another train, having half its length and travelling in opposite direction at 42 km/hr, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the railway platform is
a) 300 m
b) 350 m
c) 400 m
d) 200 m
Answer »Answer: (c)
Let the length of the train travelling at 48 kmph be x metres.
Let the length of the platform be y metres.
Relative speed of train
= (48 + 42) kmph
= ${90 × 5}/18$ m./sec. = 25 m./sec.
and 48 kmph = ${48 × 5}/18 = 40/3$ m./sec.
According to the question,
${x + {x/2}}/25$ = 12
${3x}/{2 × 25}$ =12
3x = 2 × 12 × 25 = 600
x = 200 m.
Also, ${200 + y}/{40/3}$ = 45
600 + 3y = 40 × 45
3y = 1800 - 600 = 1200
y = $1200/3$ = 400 m.
Question : 2 [SSC CGL Tier-II 2015]
P and Q starting simultaneously from two different places proceed towards each other at a speed of 20 km/hour and 30 km/hour respectively. By the time they meet each other. Q has covered 36 km more than that of P. The distance (in km.) between the two places is
a) 162
b) 180
c) 108
d) 144
Answer »Answer: (b)
Let P and Q meet after t hours.
Distance = speed × time
According to the question,
30t - 20t = 36
10t = 36 ⇒ t = $36/10$ = 3.6 hours
Distance between P and Q
= 30t + 20t
= 50t = (50 × 3.6) km. = 180 km.
Using Rule 13,From stations A and B, two trains start travelling towards each other at speeds a and b, respectively. When they meet each other, it was found that one train covers distance d more than that of another train. The distance between stations A and B is given as$({a + b}/{a - b}) × d$
Here, a = 30, b = 20, d = 36
Required distance
= $({a + b}/{a - b}) × d$
= $({30 + 20}/{30 - 20}) ×$ 36
= $50/10 × 36$ = 180 km
Question : 3 [SSC CHSL 2015]
Two trains start at the same time from Aligarh and Delhi and proceed towards each other at the rate of 14 km and 21 km per hour respectively. When they meet, it is found that one train has travelled 70 km more than the other. The distance between two stations is
a) 210 km
b) 300 km
c) 140 km
d) 350 km
Answer »Answer: (d)
Let the trains meet each other after t hours.
Distance = Speed × Time
According to the question,
21t - 14t = 70
7t = 70 ⇒ t = $70/7$ = 10 hours
Required distance
= 21t + 14t = 35t = 35 × 10 = 350 km.
Using Rule 13,
Here, a = 21, b = 14, d = 70
Required distance
= $({a + b}/{a - b}) × d$
= $({21 + 14}/{21 - 14}) × 70$
= $35/7 × 70$ = 350 km.
Question : 4 [SSC CHSL 2015]
Two trains of lengths 150m and 180m respectively are running in opposite directions on parallel tracks. If their speeds be 50 km/ hr and 58 km/hr respectively, in what time will they cross each other?
a) 15 seconds
b) 30 seconds
c) 11 seconds
d) 22 seconds
Answer »Answer: (c)
Using Rule 3,
Relative speed = (50 + 58) kmph
= $(108 × 5/18)$ m/sec. = 30 m/sec
Required time
= $\text"Total length of trains"/ \text"Relative speed"$
= $({150 +180}/30)$ seconds
= $(330/30)$ seconds = 11 seconds
Question : 5 [SSC CHSL 2015]
Two trains start at the same time from A and B and proceed toward each other at the speed of 75 km/hr and 50 km/hr respectively. When both meet at a point in between, one train was found to have travelled 175 km more than the other. Find the distance between A and B.
a) 785 km.
b) 758 km.
c) 857 km.
d) 875 km.
Answer »Answer: (d)
Let the trains meet after t hours.
Distance = Speed × Time
According to the question,
75t - 50t = 175
25t = 175 ⇒ t = $175/25$ = 7 hours
Distance between A and B
= 75t + 50t = 125t
= 125 × 7 = 875 km.
Using Rule 13,
Here, a = 75, b = 50, d = 175
Required distance
= $({a + b}/{a - b}) × d$
= $({75 + 50}/{75 - 50}) × 175$
= $125/25 × 175$ = 125 × 7 = 875 km
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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