Model 5 Train Vs Both platform and a man/a pole 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 : 6 [SSC Investigator 2010]
A train crosses a pole in 15 seconds and a platform 100 metres long in 25 seconds. Its length (in metres) is
a) 100
b) 150
c) 200
d) 50
Answer »Answer: (b)
Rule 10 and Rule 1,
Let the length of train be x metre.
$x/15 = {x + 100}/25$
$x/3 = {x + 100}/5$
5x = 3x + 300
2x = 300
$x = 300/2$ = 150 metres
Question : 7 [SSC CGL Prelim 2000]
A train passes a 50 metres long platform in 14 seconds and a man standing on the platform in 10 seconds.The speed of the train is :
a) 36km/hr
b) 40 km/hr
c) 45 km/hr
d) 24 km/hr
Answer »Answer: (c)
Using Rule 10,If a train of length x m crosses a platform/tunnel/bridge of length y m with the speed u m/s in t seconds, then,t = ${x + y}/u$
Using Rule 1,If a train crosses an electric pole, a sitting/standing man, km or mile stone etc. then distance = Length of train. Then,Length of train = Speed × TimeAnd Time = $\text"Length of train"/\text"Speed"$ andSpeed = $\text"Length of train"/\text"Time"$
Let the length of train be x metres
According to question
Speed of the train = $x/10$ m/ sec.
Also, the speed of the train
= $({x + 50}/14)$ m/sec.
[Since, It passes the platform in 14 seconds]
Both the speeds should be equal,
i.e., $x/10 = {x + 50}/14$ = or 14x = 10x + 500
or 14x - 10x = 500
or 4x = 500
x = 125 metres
Hence, Speed = $125/10 = 12.5$ m/sec.
= ${12.5 × 18}/5$ km/hr. = 45 km/hr.
Question : 8 [SSC CGL Prelim 2008]
A moving train crosses a man standing on a platform and a bridge 300 metres long in 10 seconds and 25 seconds respectively. What will be the time taken by the train to cross a platform 200 metres long ?
a) 18 seconds
b) 20 seconds
c) 22 seconds
d) 16$2/3$ seconds
Answer »Answer: (b)
Rule 10 and Rule 1,
Let the length of the train be x metre
Speed of train when it crosses man = $x/10$
Speed of train when it crosses platform = ${x + 300}/25$
According to the question,
Speed of train
= $x/10 = {x + 300}/25$
25x = 10x + 3000
15x = 3000
$x = 3000/15$ = 200 metres
Length of train = 200 metre
Speed of train = $x/10 = 200/10$
= 20 m/sec
Time taken in crossing a 200 m long platform
= ${200 + 200}/20$ = 20 seconds
Question : 9 [SSC CGL Tier-I 2014]
A train crosses a platform in 30 seconds travelling with a speed of 60 km/h. If the length of the train be 200 metres, then the length (in metres) of the platform is
a) 300
b) 200
c) 500
d) 400
Answer »Answer: (a)
Rule 10 and Rule 1,
Speed of train = 60 kmph
= $(60 × 5/18)$ m/sec.
= $50/3$ m/sec.
If the length of platform be = x metre, then
Speed of train
= $\text"Length of (train + platform)"/ \text"Time taken in crossing"$
$50/3 = {200 + x}/30$
50 × 10 = 200 + x
x = 500 - 200 = 300 metre
Question : 10 [SSC MTS 2013]
A train passes by a lamp post on a platform in 7 sec. and passes by the platform completely in 28 sec. If the length of the platform is 390 m, then length of the train (in metres) is
a) 130
b) 140
c) 150
d) 120
Answer »Answer: (a)
Rule 10 and Rule 1,
Let the length of train be x metre,
then, Speed of train
= $x/7 = {x + 390}/28$
$x = {x + 390}/4$
4x - x = 390
$x = 390/3$ = 130 metres
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 »
-
New 500+ Aptitude MCQs on Train Crossing Pole/Post or Man »
-
Top 499+ Trains Problems Using Time and Distance For SSC »
-
Top 489+ Time And Distance MCQ Problems on Train For BANK »
Model 5 Train Vs Both platform and a man/a pole Shortcuts »
Click to Read...Model 5 Train Vs Both platform and a man/a pole Online Quiz
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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