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) 9
(b) 12
(c) 15
(d) 6
The correct answers to the above question in:
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
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Read more trains in same direction Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
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 : 3
Two trains start from stations A and B and travel towards each other at speeds of 50 kmph and 60 kmph respectively. At the time of their meeting, the second train has travelled 120 km more than the first. The distance between A and B is
a) 1440 km
b) 1320 km
c) 990 km
d) 1200 km
Answer »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
Question : 4
A passenger train running at the speed of 80 kms./hr leaves the railway station 6 hours after a goods train leaves and overtakes it in 4 hours. What is the speed of the goods train?
a) 50 kmph
b) 45 kmph
c) 64 kmph
d) 32 kmph
Answer »Answer: (d)
Let the speed of goods train be x kmph.
Distance covered by goods train in 10 hour = distance covered by passenger train in 4 hours
10x = 80 × 4
$x = {80 × 4}/10$ = 32 kmph.
Question : 5
Two trains, 80 metres and 120 metres long, are running at the speed of 25 km/hr and 35 km/hr respectively in the same direction on parallel tracks. How many seconds will they take to pass each other ?
a) 64
b) 70
c) 72
d) 48
Answer »Answer: (c)
Relative speed
= 35 – 25 = 10 kmph
= ${10 × 5}/18$ m/sec.
Total length = 80 + 120 = 200 metres
Required time
= $\text"Sum of the length of trains"/ \text"Relative speed"$
= $200/{{10 × 5}/18} = {200 × 18}/{10 × 5}$
= 72 seconds
Question : 6
A moving train, 66 metres long, overtakes another train of 88 metres long, moving in the same direction in 0.168 minutes. If the second train is moving at 30 km/hr, at what speed is the first train moving ?
a) 50 km/hr.
b) 55 km/hr.
c) 25 km/hr.
d) 85 km/hr.
Answer »Answer: (d)
Suppose the speed of first train be x kmph
Speed of second train
= 30 kmph = ${30 × 1000}/60$
500 m per min.
According to question
$\text"Total Distance"/\text"Relativespeed"$
= $({66 + 88})/{x – 500} = 0.168$
$154/{x – 500} = 0.168$
0.168x – 84 = 154
0.168x = 238
$x = 238/0.168$
$({238 × 1000}/168)$m per minute
= ${238 × 1000}/168 × 3/50$ kmph = 85 kmph
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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