Model 1 Train Vs Train in same direction Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 6 EXERCISES
-
Top 399+ Trains Based Time and Distance MCQs For BANK SSC »
-
New 500+ Aptitude Problems on Train For All BANK SSC Exam »
-
Top 499+ Aptitude MCQs on Trains Crossing Bridge/Platform »
-
New 500+ Aptitude MCQs on Train Crossing Pole/Post or Man »
-
Top 499+ Trains Problems Using Time and Distance For SSC »
-
Top 489+ Time And Distance MCQ Problems on Train For BANK »
The following question based on trains topic of quantitative aptitude
(a) 12 minutes
(b) 15 minutes
(c) 20 minutes
(d) 10 minutes
The correct answers to the above question in:
Answer: (a)
The constable and thief are running in the same direction
Their relative speed
= 8 – 7 = 1km.
= 1 × $5/18$ m/sec.
∴ Required time = $200/{5/18}$
= ${200 × 18}/5$ = 720 sec
= $720/60$ minutes = 12 minutes
Discuss Form
Read more trains in same direction Based Quantitative Aptitude Questions and Answers
Question : 1
Two trains are running 40 km/hr and 20 km/hr respectively in the same direction. The fast train completely passes a man sitting in the slow train in 5 seconds. The length of the fast train is
a) 27 m
b) 27$7/9$ m
c) 23 m
d) 23 4$2/9$ m
Answer »Answer: (b)
Relative speed
= 40 – 20 = 20 km/hour = ${20 × 5}/18$ m/sec.
Length of the faster train
= ${20 × 5}/18 × 5$ metres
= $250/9 = 27{7}/9$ metres
Question : 2
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 : 3
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 : 4
A bus moving at a speed of 45 km/hr overtakes a truck 150 metres ahead going in the same direction in 30 seconds. The speed of the truck is
a) 24 km/hr
b) 25 km/hr
c) 28 km/hr
d) 27 km/hr
Answer »Answer: (d)
Let the speed of the truck be x kmph
Relative speed of the bus
= (45 – x) kmph
Time = $\text"Distance"/ \text"Relativespeed"$
$30/{60 × 60} = {150/1000}/({45 – x})$
$1/120 = 15/{100(45 – x)}$
$1/6 = 3/({45 – x})$
(45 – x ) = 18
x = 45 – 18 = 27 kmph
Question : 5
A thief is stopped by a policeman from a distance of 400 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 5 km/h and that of policeman as 9 km/h, how far the thief would have run, before he is over taken by the policeman ?
a) 600 metre
b) 500 metre
c) 300 metre
d) 400 metre
Answer »Answer: (b)
Distance between thief and policeman = 400 metre
Relative speed of policeman with respect to thief
= (9 – 5) kmph = 4 kmph
= $({4 × 5}/18)$ m./sec. = $10/9$ m./sec.
Time taken in overtaking the thief
= $(400/{10/9})$ second
= $({400 × 9}/10)$ second = 360 second
Distance covered by thief
= Speed × Time
= $(5 × 5 × 18/360)$ metre
= 500 metre
Question : 6
Two trains of equal length are running on parallel lines in the same direction at the rate of 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is
a) 72 m
b) 80 m
c) 82 m
d) 50 m
Answer »Answer: (d)
Length of each train = x metre
Relative speed
= 46 – 36= 10 kmph
= $(10 × 5/18)$ m/sec = $25/9$ m/sec
Time taken in crossing
= $\text"Length of both trains"/ \text"Relativespeed"$
36 = ${2x}/{25/9}$
$2x = 36 × 25/9$ = 100
$x = 100/2$ = 50 metre
trains Shortcuts and Techniques with Examples
-
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 …
Verbal Reasoning
Question & Answer Quiz
Non Verbal Reasoning
Question & Answer Quiz
Quantitative Aptitude
Question & Answer Quiz
Computer MCQ
Question & Answer Quiz
General English
Question & Answer Quiz
History GK
Question & Answer Quiz
Polity GK
Question & Answer Quiz
Geography GK
Question & Answer Quiz
Economy GK
Question & Answer Quiz
General Awareness GK
Question & Answer Quiz
Recently Added Subject & Categories For All Competitive Exams
New 150+ Percentage Questions For IBPS Clerk Prelims 2024
Free Top Percentage Quants Aptitude based Multiple Choice Questions and Answers Practice Test Series, Quiz PDF & Mock Test for IBPS Clerk Prelims 2024 Exam
Continue Reading »
Classification Reasoning MCQ For IBPS Clerk Prelims 2024
Most Important 100+ Classification based Verbal Reasoning Ability Multiple choice questions and answers PDF, Free New Mock tests For IBPS Clerk Prelims 2024
Continue Reading »
Ratio and Proportion Questions with Solutions, IBPS Clerk
New Ratio and Proportion Quants Aptitude based Multiple Choice Questions and Answers Practice Test Series, Quiz & Mock Test for IBPS Clerk Prelims 2024 Exam
Continue Reading »
Top Analogy Reasoning Ability For IBPS Clerk Prelims 2024
Most Important Analogy based Verbal Reasoning Multiple choice questions and answers practice quiz series PDF, Free New Mock tests For IBPS Clerk Prelims 2024
Continue Reading »