Model 4 Train Vs Pole/Signal Post/Man 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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New 500+ Aptitude MCQs on Train Crossing Pole/Post or Man »
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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) 27 km/hour
(b) 25 km/hour
(c) 24 km/hour
(d) 28 km/hour
The correct answers to the above question in:
Answer: (b)
Let the speed of train be x kmph
and its length be y km.
When the train crosses a man, it covers its own length
According to he question,
$y/{(x - 3) × 5/18}$ = 10
18y = 10 × 5(x –3)
18y = 50x –150 ..... (i)
and, $y/{(x - 5) × 5/18}$ = 11
18y = 55(x–5)
18y = 55x –275 .... (ii)
From equations (i) and (ii),
55x –275 = 50x–150
55x –50x = 275 - 150
5x = 125 ⇒ x = $125/5$ = 25
Speed of the train = 25 kmph
Using Rule 7,A train crosses two men in $t_1$ seconds and $t_2$ seconds running in the same direction with the speed $s_1$ and $s_2$ then the speed of train is = ${t_1S_1 - t_2S_2}/{t_1 - t_2}$and length of train is l = $(S_1 - S_2)({t_1 - t_2}/{t_1 - t_2})$
Here, $S_1 = 3, S_2 = 5, t_1 = 10/3600 , t_2 = 11/3600$
Speed of train = ${t_1S_1 - t_2S_2}/{t_1 - t_2}$
= ${{3 × 10}/3600 - {5 × 11}/3600}/{10/3600 - 11/3600}$
= ${-25}/3600 × 3600/{- 1}$ = 25 m/sec
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Read more crossing pole signal post man Based Quantitative Aptitude Questions and Answers
Question : 1
A train is running at 36 km/hr. If it crosses a pole in 25 seconds, its length is
a) 250 m
b) 255 m
c) 260 m
d) 248 m
Answer »Answer: (a)
Using Rule 1,
Speed of train = 36 kmph
= $({36 × 5}/18)$ m/sec = 10 m/sec.
Length of train = Speed × time
= 10 × 25 = 250 metre
Question : 2
A train 100 metres long meets a man going in opposite direction at 5 km/hr and passes him in 7$1/5$ seconds. What is the speed of the train (in km/hr) ?
a) 60 km/hr
b) 55 km/hr
c) 50 km/hr
d) 45 km/hr
Answer »Answer: (d)
Using Rule 6,
Let speed of train be x kmph
Relative speed = (x + 5) kmph
Length of train
= $100/1000$ km = $1/10$ km
${1/10}/{x + 5} = 36/{5 × 60 × 60}$
$1/{10(x + 5)} = 1/500$
x + 5 = 50 ⇒ x = 45 kmph
Question : 3
A train 150m long passes a km stone in 30 seconds and another train of the same length travelling in opposite direction in 10 seconds. The speed ot the second train is :
a) 125 km/hr
b) 25 km/hr
c) 75 km/hr
d) 90 km/hr
Answer »Answer: (d)
Speed of train A
= $150/30$ = 5 m/sec.
Speed of train B = x m/sec.
Relative speed = (5+x) m/sec.
Length of both trains
= Relative speed × Time
300 = (5 + x) × 10
5 + x = $300/10$ = 30
x = 30 - 5 = 25 m/sec.
= $({25 × 18}/5)$ kmph. = 90 kmph.
Question : 4
In what time will a train, 60 metre long, running at the rate of 36 km/hr pass a telegraph post ?
a) 8 seconds
b) 7 seconds
c) 6 seconds
d) 9 seconds
Answer »Answer: (c)
Speed of train = 36 kmph
= $({36 × 5}/18)$ m./sec. = 10 m./sec.
Required time = $\text"Length of train"/ \text"Speed of train"$
= $60/10$ = 6 seconds
Question : 5
A train 180 metres long is running at a speed of 90 km/h. How long will it take to pass a post ?
a) 7.8 secs
b) 8 secs
c) 7.2 secs
d) 8.2 secs
Answer »Answer: (c)
Using Rule 1,
Speed of train = 90 kmph
= $(90 × 5/18)$ m/sec. = 25 m/sec.
When a train crosses a post, it covers a distance equal to its own length.
Required time = $\text"Distance"/ \text"Speed"$
= $180/25$ = 7.2 seconds
Question : 6
A 120 m long train takes 10 seconds to cross a man standing on a platform. What is the speed of the train ?
a) 10 m/sec.
b) 15 m/sec.
c) 20 m/sec.
d) 12 m/sec.
Answer »Answer: (d)
Using Rule 1,
In crossing a man standing on platform, train crosses its own length.
Speed of train = $120/10 = 12$m/s
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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