Model 2 Train Vs Train in opposite direction Practice Questions Answers Test with Solutions & More Shortcuts
trains PRACTICE TEST [6 - EXERCISES]
Model 1 Train Vs Train in same direction
Model 2 Train Vs Train in opposite direction
Model 3 Train Vs Bridge/Platform
Model 4 Train Vs Pole/Signal Post/Man
Model 5 Train Vs Both platform and a man/a pole
Model 6 Change in speed Vs Change with time travel
Question : 21 [SSC MTS 2013]
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 : 22 [SSC CHSL 2010]
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 : 23 [SSC GL Tier-I 2013]
A train, 150m long, passes a pole in 15 seconds and another train of the same length travelling in the opposite direction in 12 seconds. The speed of the second train is
a) 48 km/hr
b) 52 km/hr
c) 54 km/hr
d) 45 km/hr
Answer »Answer: (c)
Using Rule 3,
Let the speed of the second train be x m/s
Speed of first train
= $150/15$ = 10 m/sec
Relative speed of trains
= (x + 10) m/s
Total distance covered
= 150 + 150 = 300 metre
Time taken = $300/{x + 10}$
$300/{x + 10}$ = 12
12x + 120 = 300
12x = 300 - 120 = 180
x = $180/12$ = 15 m/s
= ${15 × 18}/5$ or 54 kmph.
Question : 24 [SSC CGL Tier-II 2015]
Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously another train leaves Q for P. They meet at the end of 6 hours. If the former train travels 8 km/hour faster than the other, then speed of train from Q is
a) 10$5/6$ km/hour
b) 9$1/2$ km/hour
c) 8$1/2$ km/hour
d) 12$5/6$ km/hour
Answer »Answer: (b)
Speed of train starting from Q = x kmph
Speed of train starting from P = (x + 8) kmph
According to the question,
PR + RQ = PQ
(x + 8) × 6 + x × 6 = 162
[Distance = Speed × Time]
6x + 48 + 6x = 162
12x = 162 - 48 = 114
x = $114/12 = 19/2 = 9{1}/2$ kmph
Question : 25 [SSC CPO S.I.2009]
Two towns A and B are 500 km. apart. A train starts at 8 AM from A towards B at a speed of 70 km/ hr. At 10 AM, another train starts from B towards A at a speed of 110 km/hr. When will the two trains meet ?
a) 12 Noon
b) 12.30 PM
c) 1.30 PM
d) 1 PM
Answer »Answer: (a)
Let two trains meet after t hours when the train from town A leaves at 8 AM.
Distance covered in t hours at 70 kmph
+ Distance covered in (t - 2) hours at 110 kmph = 500km
70t + 110 (t - 2) = 500
70t + 110t - 220 = 500
180 t = 500 + 220 = 720
t = $720/180$ = 4 hours
Hence, the trains will meet at 12 noon.
IMPORTANT quantitative aptitude 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 »
Model 2 Train Vs Train in opposite direction Shortcuts »
Click to Read...Model 2 Train Vs Train in opposite direction Online Quiz
Click to Start..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 …
quantitative aptitude CATEGORIES
RECENT BLOGS
Recently Added Subject & Categories For All Competitive Exams
New 100+ Compound Interest MCQ with Answers PDF for IBPS
Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Mixture and Alligation MCQ Questions PDF for IBPS
Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams
Continue Reading »
IBPS Profit and Loss Questions Solved Problems with PDF
Most important Profit and Loss multiple choice questions and answers with PDF for IBPS RRB PO. 100+ Aptitude MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Average Aptitude Questions Answers solutions MCQ PDF
New Average multiple choice questions and answers with PDF for IBPS RRB PO. 100+ Quantitative Aptitude MCQ Practice Exercises all competitive exams
Continue Reading »