UPSC Exam  >  UPSC Questions  >  Two trains viz A and B are running on paralle... Start Learning for Free
Two trains viz A and B are running on parallel tracks and A is faster than B. If both are moving in same direction, A passes B in 5/3 minutes but when moving in opposite directions, A crosses B in 20 seconds. A's speed is how much percent more than B's speed?
  • a)
    12.5%
  • b)
    50%
  • c)
    25%
  • d)
    75%
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Two trains viz A and B are running on parallel tracks and A is faster ...
Let speed of A and B be a and b respectively.
Then,

⟹ (a + b) = 5(a − b)
⟹ 6b = 4a
i.e., if a=6, b=4
View all questions of this test
Most Upvoted Answer
Two trains viz A and B are running on parallel tracks and A is faster ...
Understanding the problem:
The problem states that Train A is faster than Train B, and when they are moving in the same direction, A passes B in 5/3 minutes. When they are moving in opposite directions, A crosses B in 20 seconds.

Calculating speed:
Let the speed of Train A be x km/h and the speed of Train B be y km/h.
When they are moving in the same direction, the relative speed is x - y km/h. Therefore, in 5/3 minutes (or 100 seconds), A covers the length of B. This can be represented as:
(x - y) * 5/3 * 60 = y * 100
When they are moving in opposite directions, the relative speed is x + y km/h. Therefore, in 20 seconds, A covers the length of B. This can be represented as:
(x + y) * 20 = y * 20

Solving the equations:
From the first equation, we get:
5(x - y) = 3y
5x - 5y = 3y
5x = 8y
x = 8y/5
Substitute x = 8y/5 into the second equation:
(8y/5 + y) * 20 = y * 20
(13y/5) * 20 = y * 20
13y = 5y
y = 5
Therefore, B's speed is 5 km/h and A's speed is 8 km/h.

Calculating percentage increase:
The percentage increase in A's speed compared to B's speed is:
((8-5)/5) * 100 = 60%
Hence, A's speed is 60% more than B's speed, which is closest to option B - 50%.
Explore Courses for UPSC exam

Top Courses for UPSC

Two trains viz A and B are running on parallel tracks and A is faster than B. If both are moving in same direction, A passes B in 5/3 minutes but when moving in opposite directions, A crosses B in 20 seconds. As speed is how much percent more than Bs speed?a)12.5%b)50%c)25%d)75%Correct answer is option 'B'. Can you explain this answer?
Question Description
Two trains viz A and B are running on parallel tracks and A is faster than B. If both are moving in same direction, A passes B in 5/3 minutes but when moving in opposite directions, A crosses B in 20 seconds. As speed is how much percent more than Bs speed?a)12.5%b)50%c)25%d)75%Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two trains viz A and B are running on parallel tracks and A is faster than B. If both are moving in same direction, A passes B in 5/3 minutes but when moving in opposite directions, A crosses B in 20 seconds. As speed is how much percent more than Bs speed?a)12.5%b)50%c)25%d)75%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains viz A and B are running on parallel tracks and A is faster than B. If both are moving in same direction, A passes B in 5/3 minutes but when moving in opposite directions, A crosses B in 20 seconds. As speed is how much percent more than Bs speed?a)12.5%b)50%c)25%d)75%Correct answer is option 'B'. Can you explain this answer?.
Solutions for Two trains viz A and B are running on parallel tracks and A is faster than B. If both are moving in same direction, A passes B in 5/3 minutes but when moving in opposite directions, A crosses B in 20 seconds. As speed is how much percent more than Bs speed?a)12.5%b)50%c)25%d)75%Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Two trains viz A and B are running on parallel tracks and A is faster than B. If both are moving in same direction, A passes B in 5/3 minutes but when moving in opposite directions, A crosses B in 20 seconds. As speed is how much percent more than Bs speed?a)12.5%b)50%c)25%d)75%Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Two trains viz A and B are running on parallel tracks and A is faster than B. If both are moving in same direction, A passes B in 5/3 minutes but when moving in opposite directions, A crosses B in 20 seconds. As speed is how much percent more than Bs speed?a)12.5%b)50%c)25%d)75%Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Two trains viz A and B are running on parallel tracks and A is faster than B. If both are moving in same direction, A passes B in 5/3 minutes but when moving in opposite directions, A crosses B in 20 seconds. As speed is how much percent more than Bs speed?a)12.5%b)50%c)25%d)75%Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Two trains viz A and B are running on parallel tracks and A is faster than B. If both are moving in same direction, A passes B in 5/3 minutes but when moving in opposite directions, A crosses B in 20 seconds. As speed is how much percent more than Bs speed?a)12.5%b)50%c)25%d)75%Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Two trains viz A and B are running on parallel tracks and A is faster than B. If both are moving in same direction, A passes B in 5/3 minutes but when moving in opposite directions, A crosses B in 20 seconds. As speed is how much percent more than Bs speed?a)12.5%b)50%c)25%d)75%Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev