Model 1 Train Vs Train in same direction 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 CGL Tier-II 2014]
Two trains of equal length are running on parallel lines in the same direction at the rate of 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is
a) 72 m
b) 80 m
c) 82 m
d) 50 m
Answer »Answer: (d)
Length of each train = x metre
Relative speed
= 46 – 36= 10 kmph
= $(10 × 5/18)$ m/sec = $25/9$ m/sec
Time taken in crossing
= $\text"Length of both trains"/ \text"Relativespeed"$
36 = ${2x}/{25/9}$
$2x = 36 × 25/9$ = 100
$x = 100/2$ = 50 metre
Question : 7 [SSC CHSL Tier-I 2017]
A thief is stopped by a policeman from a distance of 400 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 5 km/h and that of policeman as 9 km/h, how far the thief would have run, before he is over taken by the policeman ?
a) 600 metre
b) 500 metre
c) 300 metre
d) 400 metre
Answer »Answer: (b)
Distance between thief and policeman = 400 metre
Relative speed of policeman with respect to thief
= (9 – 5) kmph = 4 kmph
= $({4 × 5}/18)$ m./sec. = $10/9$ m./sec.
Time taken in overtaking the thief
= $(400/{10/9})$ second
= $({400 × 9}/10)$ second = 360 second
Distance covered by thief
= Speed × Time
= $(5 × 5 × 18/360)$ metre
= 500 metre
Question : 8 [SSC DEO 2008]
A bus moving at a speed of 45 km/hr overtakes a truck 150 metres ahead going in the same direction in 30 seconds. The speed of the truck is
a) 24 km/hr
b) 25 km/hr
c) 28 km/hr
d) 27 km/hr
Answer »Answer: (d)
Let the speed of the truck be x kmph
Relative speed of the bus
= (45 – x) kmph
Time = $\text"Distance"/ \text"Relativespeed"$
$30/{60 × 60} = {150/1000}/({45 – x})$
$1/120 = 15/{100(45 – x)}$
$1/6 = 3/({45 – x})$
(45 – x ) = 18
x = 45 – 18 = 27 kmph
Question : 9 [SSC CPO S.I.2004]
A constable follows a thief who is 200 m ahead of the constable. If the constable and the thief run at speed of 8 km/hour and 7 km/hour respectively, the constable would catch the thief in
a) 12 minutes
b) 15 minutes
c) 20 minutes
d) 10 minutes
Answer »Answer: (a)
The constable and thief are running in the same direction
Their relative speed
= 8 – 7 = 1km.
= 1 × $5/18$ m/sec.
∴ Required time = $200/{5/18}$
= ${200 × 18}/5$ = 720 sec
= $720/60$ minutes = 12 minutes
Question : 10 [SSC CGL Tier-II 2013]
Two trains are running 40 km/hr and 20 km/hr respectively in the same direction. The fast train completely passes a man sitting in the slow train in 5 seconds. The length of the fast train is
a) 27 m
b) 27$7/9$ m
c) 23 m
d) 23 4$2/9$ m
Answer »Answer: (b)
Relative speed
= 40 – 20 = 20 km/hour = ${20 × 5}/18$ m/sec.
Length of the faster train
= ${20 × 5}/18 × 5$ metres
= $250/9 = 27{7}/9$ 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 »
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New 500+ Aptitude MCQs on Train Crossing Pole/Post or Man »
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Top 499+ Trains Problems Using Time and Distance For SSC »
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Top 489+ Time And Distance MCQ Problems on Train For BANK »
Model 1 Train Vs Train in same direction Shortcuts »
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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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