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) 9$1/5$ seconds
(b) 7 seconds
(c) 14 seconds
(d) 4$4/5$ seconds
The correct answers to the above question in:
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
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Read more crossing bridge platform Based Quantitative Aptitude Questions and Answers
Question : 1
A train travelling at a speed of 30 m/sec crosses a platform, 600 metres long, in 30 seconds. The length (in metres) of train is
a) 150
b) 200
c) 300
d) 120
Answer »Answer: (c)
Using Rule 10,
Let the length of train be x
According to the question,
${x + 600}/30$ = 30
x + 600 = 900
x = 900 - 600 = 300 m
Question : 2
A train with a uniform speed passes a platform, 122 metres long, in 17 seconds and a bridge, 210 metres long, in 25 seconds. The speed of the train is
a) 37.5 km/hour
b) 37.6 km/hour
c) 39.6 km/hour
d) 46.5 km/hour
Answer »Answer: (c)
Using Rule 10,
Let the length of the train be x
According to the question,
${x + 122}/17 = {x + 210}/25$
25x + 3050 = 17x + 3570
25x - 17x = 3570 - 3050
8x = 520 ⇒ x = $520/8$ = 65 metres
Speed of the train
= ${65 + 122}/17 = 187/17$ metre/second
= 11 metre/second
= ${11 × 18}/5$ kmph = 39.6 kmph
Question : 3
A train, 200 metre long, is running at a speed of 54 km/hr. The time in seconds that will be taken by train to cross a 175 metre long bridge is :
a) 20
b) 25
c) 10
d) 12.5
Answer »Answer: (b)
Speed of train = 54 kmph
= $({54 × 5}/18)$ m/sec.
= 15 m/sec.
Required time
= $\text"Length of train and bridge"/ \text" Speed of train"$
= $({200 + 175}/15)$ seconds
= $(375/15)$ seconds = 25 seconds
Question : 4
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 : 5
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 : 6
A train 300 metres long is running at a speed of 25 metres per second. It will cross a bridge of 200 metres in
a) 10 seconds
b) 20 seconds
c) 25 seconds
d) 5 seconds
Answer »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
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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