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) 50 km/hr.
(b) 55 km/hr.
(c) 25 km/hr.
(d) 85 km/hr.
The correct answers to the above question in:
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
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Read more trains in same direction Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
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 : 3
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
Question : 4
A train is moving at a speed of 80 km/h and covers a certain distance in 4.5 hours. The speed of the train to cover the same distance in 4 hours is
a) 70 km/h
b) 85 km/h
c) 90 km/h
d) 100 km/h
Answer »Answer: (c)
Distance = Speed × Time
= 80 × 4.5 = 360 km
∴ Required speed = $360/4$ = 90 kmph.
Question : 5
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
Question : 6
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.
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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