Model 3 Train Vs Bridge/Platform Section-Wise Topic Notes With Detailed Explanation And Example Questions
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The following question based on trains topic of quantitative aptitude
(a) 10 seconds
(b) 20 seconds
(c) 25 seconds
(d) 5 seconds
The correct answers to the above question in:
Answer: (b)
In crossing the bridge, the train travels its own length plus the length of the bridge.
Total distance (length)
= 300 + 200 = 500 m.
Speed = 25m/sec.
The required time
= 500 ÷ 25 = 20 seconds
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 = ${x + y}/u$
Here, x = 300m, y= 200m, t = ? u= 25 m/sec
t = ${x + y}/u$
= ${300 + 200}/25$
t = $500/25$ = 20 seconds
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Read more crossing bridge platform Based Quantitative Aptitude Questions and Answers
Question : 1
A train passes two bridges of lengths 500 m and 250 m in 100 seconds and 60 seconds respectively. The length of the train is :
a) 125 m
b) 250 m
c) 120 m
d) 152 m
Answer »Answer: (a)
Using Rule 10,
Length of train = x metre (let)
Speed of train
= $\text"Length of train and bridge"/ \text"Time taken in crossing"$
${x + 500}/100 = {x + 250}/60$
${x + 500}/5 = {x + 250}/3$
5x + 1250 = 3x + 1500
5x - 3x = 1500 - 1250
2x = 250 ⇒ x = $250/2$ = 125 metre
Question : 2
A train, 110m long , is running at a speed of 60km/hr. How many seconds does it take to cross another train, 170 m long, standing on parallel track ?
a) 16.8 sec
b) 17.2 sec
c) 18 sec
d) 15.6 sec
Answer »Answer: (a)
Speed of train
= $\text"Sum of length of both trains"/ \text"Time taken"$
${60 × 5}/18 = {110 + 170}/t = 280/t$
t = ${280 × 18}/{60 × 5}$ = 16.8 seconds.
Question : 3
A 120 metre long train is running at a speed of 90 km per hour. It will cross a railway platform 230 m long in :
a) 9$1/5$ seconds
b) 7 seconds
c) 14 seconds
d) 4$4/5$ seconds
Answer »Answer: (c)
Using Rule 10,
Speed of train = 90 kmph
= $90 × 5/18$ = 25 m/sec
Distance covered
= 230 + 120 = 350 m
Time taken = $350/25$
= 14 seconds
Question : 4
A train 200 m long running at 36 kmph takes 55 seconds to cross a bridge. The length of the bridge is
a) 300 m.
b) 350 m.
c) 325 m.
d) 375 m.
Answer »Answer: (b)
Speed of train = 36kmph
= $36 × 5/18$ = 10 m/sec.
If the length of bridge be x metre, then
10 = ${200 + x}/55$
200 + x = 550
x = 550 - 200 = 350 metre.
Using Rule 10,
Here, x = 200 m
u = 36 km/hr, ${36 × 5}/18$ m/second
= 10 m/sec
y = ?, t = 55 sec
using t = ${x + y}/u$
55 = ${200 + y}/10$
y = 550 - 200 = 350 m
Question : 5
A train 50 metre long passes a platform 100 metre long in 10 seconds. The speed of the train in km/hr is
a) 54
b) 15
c) 100
d) 10
Answer »Answer: (a)
Using Rule 10,
Speed of train
= $\text"Length of platform and train"/ \text"Time taken incrossing"$
= $({100 + 50}/10)$ metre/second
= 15 metre/second
= $(15 × 18/5)$ kmph = 54 kmph
Question : 6
A train 150 metre long takes 20 seconds to cross a platform 450 metre long. The speed of the train in, km per hour, is :
a) 100
b) 106
c) 104
d) 108
Answer »Answer: (d)
Speed of train
= $\text"length of platform and train"/ \text"Time taken in crossing"$
=$({450 +150}/20)$ m/sec.
= $(600/20)$ m/sec.
= $(30 × 18/5)$ kmph = 108 kmph.
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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