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) 18 minutes
(b) 17 minutes
(c) 16 minutes
(d) 19 minutes
The correct answers to the above question in:
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
Discuss Form
Read more trains in same direction Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
Two trains, of same length, are running on parallel tracks in the same direction with speed 60 km/hour and 90 km/hour respectively. The latter completely crosses the former in 30 seconds. The length of each train (in metres) is
a) 150
b) 100
c) 115
d) 125
Answer »Answer: (d)
When two trains cross each other, they cover distance equal to the sum of their length with relative speed.
Let length of each train = x metre
Relative speed
= 90 – 60 = 30 kmph
= $({30 × 5}/18)$ m/sec.
= $(25/3)$ m/sec.
${2x}/{25/3} = 30$
2x = ${30 × 25}/3$
2x = 250
x = 125 metres
Question : 3
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.
Question : 4
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 : 5
A constable follows a thief who is 200 m ahead of the constable. If the constable and the thief run at speed of 8 km/hour and 7 km/hour respectively, the constable would catch the thief in
a) 12 minutes
b) 15 minutes
c) 20 minutes
d) 10 minutes
Answer »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
Question : 6
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
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
Series Completion Questions & Answers PDF IBPS Clerk 2024
Top Alphabet Number Series Completion based Verbal Reasoning Multiple choice questions with answers PDF, & Free IBPS Mock tests For IBPS Clerk Prelims 2024
Continue Reading »
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 »