Model 2 Train Vs Train in opposite 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) 58 km/hr
(b) 54 km/hr
(c) 64.8 km/hr
(d) 60 km/hr
The correct answers to the above question in:
Answer: (b)
Using Rule 11,Two trains A and B, run from stations X to Y and from Y to X with the speed '$S_A$' and '$S_B$' respectively. After meeting with each other. A reached at Y after '$t_A$' time and B reached at X after '$t_B$' time. Then Ratio of speeds of trains,$S_A/S_B = √{t_B/t_A}$
$\text"Speed of X"/\text"Speed of Y"$
= $√\text"Time taken by Y"/\text"Time taken by X"$
$45/y = √\text"3 hours 20 min"/\text"4 hours 48 min"$
$45/y = √\text"200 minutes"/\text"288 minutes" = 10/12$
10y = 12 × 45
$y = {12 × 45}/10$ = 54 kmph
Discuss Form
Read more trains in opposite direction Based Quantitative Aptitude Questions and Answers
Question : 1
The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time do they meet?
a) 10 : 30 a.m.
b) 11 a.m.
c) 11 : 30 a.m.
d) 10 a.m.
Answer »Answer: (b)
Distance travelled by first train in one hour
= 60 × 1 = 60km
The given distance between two cities A and B is 330 km.
Therefore, distance between two train at 9 a.m.
= 330 - 60 = 270 km
Now, Relative speed of two trains
= 60 + 75 = 135 km/hr
Time of meeting of two trains
= $270/135$ = 2 hrs.
Therefore, both the trains will meet at
9 + 2 = 11 A.M.
Question : 2
Two trains 108 m and 112 m in length are running towards each other on the parallel lines at a speed of 45 km/hr and 54 km/ hr respectively. To cross each other after they meet, it will take
a) 9 sec
b) 8 sec
c) 10 sec
d) 12 sec
Answer »Answer: (b)
Using Rule 3,
Relative speed
= 45 + 54 = 99 kmph
= $(99 × 5/18)$ m/sec. or $55/2$ m/sec.
Required time = ${108 + 112}/{55/2}$
= ${220 × 2}/55 = 8$ seconds
Question : 3
Two trains of length 137 metre and 163 metre are running with speed of 42 km/hr and 48 km/hr respectively towards each other on parallel tracks. In how many seconds will they cross each other?
a) 24 sec
b) 12 sec
c) 10 sec
d) 30 sec
Answer »Answer: (b)
Using Rule 3,
Relative speed
= 42 + 48 = 90 kmph
= $({90 × 5}/18)$ m/s = 25 m/s
Sum of the length of both trains
= 137 + 163 = 300 metres
Required time = $300/25$ = 12 seconds
Question : 4
Two trains of length 70 m and 80 m are running at speed of 68 km/hr and 40 km/hr respectively on parallel tracks in opposite directions. In how many seconds will they pass each other ?
a) 8 sec
b) 5 sec
c) 3 sec
d) 10 sec
Answer »Answer: (b)
Using Rule 3,
Relative speed
= (68 + 40) kmph = 108 kmph
= $({108 × 5}/18)$ m/s or 30 m/s
Required time
= $\text"Sum of the lengths of both trains"/ \text"Relative speed"$
= $({70 + 80}/30)$ second = 5 seconds
Question : 5
A train running at the speed of 84 km/hr passes a man walking in opposite direction at the speed of 6 km/hr in 4 seconds. What is the length of train (in metre) ?
a) 120
b) 100
c) 90
d) 150
Answer »Answer: (b)
Using Rule 6,Let 'a' metre long train is running with the speed 'x' m/s. A man is running in the opposite direction of train with the speed of 'y' m/s. Then, time taken by the train to cross the man = $(a/{(x + y)})$seconds.
Relative speed
= (84 + 6) = 90 kmph
= $(90 × 5/18)$ m/sec. = 25 m/sec.
Length of train
= Relative speed × Time
= 25 × 4 = 100 metre
Question : 6
Two trains 150 m and 120 m long respectively moving from opposite directions cross each other in 10 secs. If the speed of the second train is 43.2 km/hr, then the speed of the first train is
a) 50 km/hr
b) 52 km/hr
c) 51 km/hr
d) 54 km/hr
Answer »Answer: (d)
Using Rule 3,
Speed of second train = 43.2 kmph
= ${43.2 × 5}/18$ m/sec. or 12 m/sec.
Let the speed of first train be x m per second, then
${150 + 120}/{x + 12}$ = 10
27 = + x 12
x = 15 m/s
= 15 × $18/5$ kmph = 54 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
Most Important Antonyms Vocabulary - IBPS Clerk Prelims 2024
Latest Antonyms multiple choice questions and answers with free PDFfor IBPS Clerk Prelims 2024. English Vocabulary practice exercise for all bank exam
Continue Reading »
Syllogism Practice Questions Answers PDF - IBPS Clerk 2024
Practice Verbal Reasoning Syllogism multiple choice questions and answers with Fully solved explanation, PDF for the IBPS Clerk Prelims 2024 Bank Exam
Continue Reading »
IBPS Clerk Prelims 2024 Synonyms Questions Solved Answers
Most important IBPS Clerk Prelims 2024 Synonyms and Antonyms multiple choice questions and answers with detailed solutions, English vocabulary PDF Download
Continue Reading »
New Cloze Test Questions and Answers PDF - IBPS Clerk 2024
The most important Cloze Test questions with detailed answers for upcoming IBPS Clerk prelims 2024. Latest English verbal ability practice MCQs, PDF
Continue Reading »