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) 1440 km
(b) 1320 km
(c) 990 km
(d) 1200 km
The correct answers to the above question in:
Answer: (b)
Let both trains meet after t hours.
Distance = speed × time
60t – 50t = 120
10t = 120 ⇒ t = 12 hours
Required distance
= 60t + 50t
= 110t = 110 × 12 = 1320 km
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Read more trains in same direction Based Quantitative Aptitude Questions and Answers
Question : 1
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
Question : 2
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 : 3
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 : 4
A boy started from his house by bicycle at 10 a.m. at a speed of 12 km per hour. His elder brother started after 1 hr 15 mins by scooter along the same path and caught him at 1.30 p.m. The speed of the scooter will be (in km/hr)
a) 36
b) 18$2/3$
c) 9
d) 4.5
Answer »Answer: (b)
Let the speed of Scooter be x Distance covered by cycling in 3$1/2$ hours
= Distance covered by scooter in 2$1/4$ hours
$12 × 7/2 = x × 9/4$
$x = {12 × 7 × 2}/9$
= $56/3 = 18{2}/3$ kmph
Question : 5
The distance between two places A and B is 60 km. Two cars start at the same time from A and B, travelling at the speeds of 35 km/h and 25 km/h, respectively. If the cars run in the same direction, then they will meet after ( in hours)
a) 6.2
b) 6
c) 6.52
d) 6.5
Answer »Answer: (b)
Let both cars meet at C after t hours.
Distance covered by car A
= AC = 35t km
Distance covered by car B
= BC = 25t km
AC – BC = AB = 60 km.
35t – 25t = 60
10t = 60
t = $60/10$ = 6 hours
Question : 6
Two trains 180 metres and 120 metres in length are running towards each other on parallel tracks, one at the rate 65 km/ hour and another at 55 km/hour. In how many seconds will they be clear of each other from the moment they meet ?
a) 9
b) 12
c) 15
d) 6
Answer »Answer: (a)
Required time
= $\text"Sum of the lengths of trains"/\text"Relative speed"$
Relative speed = 65 + 55 = 120 kmph
= ${120 × 5}/18$ m/sec
Required time = ${180 + 120}/{{120 × 5}/18}$
= ${300 × 18}/{120 × 5}$ = 9 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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