Model 2 Train Vs Train in opposite direction Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 6 EXERCISES
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Top 499+ Aptitude MCQs on Trains Crossing Bridge/Platform »
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Top 489+ Time And Distance MCQ Problems on Train For BANK »
The following question based on trains topic of quantitative aptitude
(a) 10$5/6$ km/hour
(b) 9$1/2$ km/hour
(c) 8$1/2$ km/hour
(d) 12$5/6$ km/hour
The correct answers to the above question in:
Answer: (b)
Speed of train starting from Q = x kmph
Speed of train starting from P = (x + 8) kmph
According to the question,
PR + RQ = PQ
(x + 8) × 6 + x × 6 = 162
[Distance = Speed × Time]
6x + 48 + 6x = 162
12x = 162 - 48 = 114
x = $114/12 = 19/2 = 9{1}/2$ kmph
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Read more trains in opposite direction Based Quantitative Aptitude Questions and Answers
Question : 1
Two towns A and B are 500 km. apart. A train starts at 8 AM from A towards B at a speed of 70 km/ hr. At 10 AM, another train starts from B towards A at a speed of 110 km/hr. When will the two trains meet ?
a) 12 Noon
b) 12.30 PM
c) 1.30 PM
d) 1 PM
Answer »Answer: (a)
Let two trains meet after t hours when the train from town A leaves at 8 AM.
Distance covered in t hours at 70 kmph
+ Distance covered in (t - 2) hours at 110 kmph = 500km
70t + 110 (t - 2) = 500
70t + 110t - 220 = 500
180 t = 500 + 220 = 720
t = $720/180$ = 4 hours
Hence, the trains will meet at 12 noon.
Question : 2
Two men are standing on opposite ends of a bridge 1200 metres long. If they walk towards each other at the rate of 5m/minute and 10m/minute respectively, in how much time will they meet each other ?
a) 80 minutes
b) 85 minutes
c) 90 minutes
d) 60 minutes
Answer »Answer: (a)
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.
Men are walking in opposite directions.
Hence, they will cover the length of bridge at their relative speed.
Required time
= $1200/{(5 + 10)}$ = 80 minutes
Question : 3
Two trains 105 metres and 90 metres long, runs at the speed of 45 km/hr and 72 km/hr respectively, in opposite directions on parallel tracks. The time which they take to cross each other, is
a) 6 seconds
b) 7 seconds
c) 5 seconds
d) 8 seconds
Answer »Answer: (a)
Using Rule 3,
Length of both trains
= 105 + 90 = 195 m.
Relative speed
= (45 + 72) = 117 kmph
= 117 × $5/18$ or $65/2$ m/sec.
Time taken = $195/{65/2}$
= ${195 × 2}/65$ = 6 seconds
Question : 4
A train, 150m long, passes a pole in 15 seconds and another train of the same length travelling in the opposite direction in 12 seconds. The speed of the second train is
a) 48 km/hr
b) 52 km/hr
c) 54 km/hr
d) 45 km/hr
Answer »Answer: (c)
Using Rule 3,
Let the speed of the second train be x m/s
Speed of first train
= $150/15$ = 10 m/sec
Relative speed of trains
= (x + 10) m/s
Total distance covered
= 150 + 150 = 300 metre
Time taken = $300/{x + 10}$
$300/{x + 10}$ = 12
12x + 120 = 300
12x = 300 - 120 = 180
x = $180/12$ = 15 m/s
= ${15 × 18}/5$ or 54 kmph.
Question : 5
Two trains of length 137 metre and 163 metre are running with speed of 42 km/hr and 48 km/hr respectively towards each other on parallel tracks. In how many seconds will they cross each other?
a) 24 sec
b) 12 sec
c) 10 sec
d) 30 sec
Answer »Answer: (b)
Using Rule 3,
Relative speed
= 42 + 48 = 90 kmph
= $({90 × 5}/18)$ m/s = 25 m/s
Sum of the length of both trains
= 137 + 163 = 300 metres
Required time = $300/25$ = 12 seconds
Question : 6
Two trains 108 m and 112 m in length are running towards each other on the parallel lines at a speed of 45 km/hr and 54 km/ hr respectively. To cross each other after they meet, it will take
a) 9 sec
b) 8 sec
c) 10 sec
d) 12 sec
Answer »Answer: (b)
Using Rule 3,
Relative speed
= 45 + 54 = 99 kmph
= $(99 × 5/18)$ m/sec. or $55/2$ m/sec.
Required time = ${108 + 112}/{55/2}$
= ${220 × 2}/55 = 8$ seconds
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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