Model 1 Train Vs Train in same direction 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) 2 km 750 m
(b) 3 km 750 m
(c) 3 km 250 m
(d) 2 km 500 m
The correct answers to the above question in:
Answer: (b)
Relative speed
= 45– 40 = 5 kmph
Required distance
= $(5 × 45/60)$ km
= $15/4$ km = 3 km 750
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Read more trains in same direction Based Quantitative Aptitude Questions and Answers
Question : 1
A policeman goes after a thief who has 100 metres start, if the policeman runs a kilometre in 8 min, and the thief a km in 10 min, the distance covered by thief before he is over-powered is
a) 400 m
b) 320 m
c) 420 m
d) 350 m
Answer »Answer: (a)
Relative speed
= $1000/8 – 1000/10$
= ${5000 – 4000}/40 = 1000/40$ m/minute
Required time
= $100/{1000/40} = 4000/1000$ = 4 m/minute
Distance covered by the thief
= $1000/10 × 4 = 400$ metres
Question : 2
A thief steals a car at 1.30 p.m. and drives it off at 40 km/hr. The theft is discovered at 2 p.m. and the owner sets off in another car at 50 km/hr. He will overtake the thief at
a) 4 p.m.
b) 4.30 p.m.
c) 6 p.m.
d) 5 p.m.
Answer »Answer: (a)
Distance covered by the thief in half an hour
= $1/2 × 40$ = 20 km
Relative speed of car owner
= 50 – 40 = 10 km
Required time
= $\text"Difference of distance"/ \text"Relative speed"$
= $20/10$ = 2 hours
i.e. at 4 p.m.
Question : 3
How much time does a train, 50 m long, moving at 68 km/ hour take to pass another train, 75 m long, moving at 50 km/ hour in the same direction ?
a) 10 seconds
b) 20 seconds
c) 25 seconds
d) 5 seconds
Answer »Answer: (c)
Both trains are moving in the same direction.
Their relative speed
= (68 – 50) kmph = 18 kmph
= 18 × $5/8$ = 5 m/sec
Total length
= 50 + 75 = 125 m
Required time
= $\text"Total length"/ \text"Relative speed"$
= $125/5$ = 25 seconds.
Question : 4
Two trains of equal length are running on parallel lines in the same direction at 46 km/hour and 36 km/hour. The faster train passes the slower train in 36 seconds. The length of each train is
a) 80 m
b) 82 m
c) 50 m
d) 72 m
Answer »Answer: (c)
Let the length of each train be x metre.
Relative speed
= (46 – 36) kmph = 10 kmph
= $({10 × 5}/18)$ m./sec.
= $25/9$ m./sec.
${2x}/{25/9} = 36$
$2x = 36 × 25/9$ = 100
$x = 100/2$ = 50 metre
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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