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 : 11 [SSC CPO S.I.2003]
A constable is 114 metres behind a thief. The constable runs 21 metres and the thief runs 15 metres in a minute. In what time will the constable catch the thief ?
a) 18 minutes
b) 17 minutes
c) 16 minutes
d) 19 minutes
Answer »Answer: (d)
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 = $\text"Length of train"/\text"Time"$
The gap of 114 metre will be filled at relative speed.
Required time = $(114/{21 – 15})$ minutes
= $114/6$ =19 minutes
Question : 12 [SSC CPO S.I.2005]
Two trains are running with speed 30 km/hr and 58 km/hr in the same direction. A man in the slower train passes the faster train in 18 seconds. The length (in metres) of the faster train is :
a) 100
b) 128
c) 140
d) 70
Answer »Answer: (c)
Relative speed
= (58 – 30) km/hr
= $(28 × 5/18)$ m/sec. = $70/9$ m/sec.
Length of train
= $70/9$ ×18 = 140 metres
Question : 13 [SSC CHSL 2013]
Two trains, of same length, are running on parallel tracks in the same direction with speed 60 km/hour and 90 km/hour respectively. The latter completely crosses the former in 30 seconds. The length of each train (in metres) is
a) 150
b) 100
c) 115
d) 125
Answer »Answer: (d)
When two trains cross each other, they cover distance equal to the sum of their length with relative speed.
Let length of each train = x metre
Relative speed
= 90 – 60 = 30 kmph
= $({30 × 5}/18)$ m/sec.
= $(25/3)$ m/sec.
${2x}/{25/3} = 30$
2x = ${30 × 25}/3$
2x = 250
x = 125 metres
Question : 14 [SSC CGL Prelim 2007]
Two trains travel in the same direction at the speed of 56 km/h and 29 km/h respectively. The faster train passes a man in the slower train in 10 seconds. The length of the faster train (in metres) is
a) 80
b) 75
c) 120
d) 100
Answer »Answer: (b)
Relative speed
= 56 – 29 = 27 kmph
= $27 × 5/18 = 15/2$ m/sec
Distance covered in 10 seconds
= $15/2$ × 10 = 75 m
Hence, length of train = 75 m.
Question : 15 [SSC CGL Prelim 2000]
A thief is noticed by a policeman from a distance of 200m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km./ hr and 11 km./hr respectively. What is the distance between them after 6 minutes ?
a) 190 m
b) 200 m
c) 150 m
d) 100 m
Answer »Answer: (d)
Using Rule 12,If a train of length l m passes a bridge/platform of 'x' m in $t_1$ sec, then the time taken by the same train to cross another bridge/platform of length 'y' m is,Time taken = $({l + y}/{l + x})t_1$
Relative speed of police
= 11 – 10 = 1 kmph
= $5/18$ m/sec
Distance decreased in 6 minutes
= $5/18$ × 6 × 60 = 100 m
Distance remained between them
= 200–100 = 100 m
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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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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