All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
Banking Exams Exam  >  Banking Exams Questions  >  A 240 meters long train running at the speed ... Start Learning for Free
A 240 meters long train running at the speed of 120 km/hr passed a 280 meters long platform in T second. If train passed a tunnel in (12.6 + T) sec then find the length of tunnel? 
  • a)
    710 meters 
  • b)
    740 meters 
  • c)
    720 meters 
  • d)
    700 meters 
  • e)
    760 meters 
Correct answer is option 'D'. Can you explain this answer?
Clear all your Banking Exams doubts with EduRev
Verified Answer
A 240 meters long train running at the speed of 120 km/hr passed a 280...
View all questions of this test
Most Upvoted Answer
A 240 meters long train running at the speed of 120 km/hr passed a 280...
Given:
Length of the train = 240 meters
Speed of the train = 120 km/hr
Length of the platform = 280 meters
Time taken to pass the platform = T seconds
Time taken to pass the tunnel = 12.6T seconds

To find:
Length of the tunnel

Approach:
First, we need to find the time taken by the train to pass the platform.
Then, we can calculate the speed of the train in meters per second.
Using the speed and time, we can calculate the distance covered by the train in passing the platform.
Finally, we can calculate the length of the tunnel by subtracting the distance covered in passing the platform from the total distance covered in passing the tunnel.

Calculations:
1. Time taken to pass the platform:
Distance = Length of the platform = 280 meters
Speed = 120 km/hr = (120 * 1000) / 3600 m/s = 100/3 m/s (converting km/hr to m/s)
Time = Distance / Speed = 280 / (100/3) = (280 * 3) / 100 = 8.4 seconds

2. Speed of the train in meters per second:
Speed = 120 km/hr = (120 * 1000) / 3600 m/s = 100/3 m/s

3. Distance covered in passing the platform:
Distance = Length of the train + Length of the platform = 240 + 280 = 520 meters

4. Time taken to pass the tunnel:
Time = 12.6T seconds

5. Total distance covered in passing the tunnel:
Distance = Length of the train + Length of the tunnel

Using the above calculations, we can write the equation:
Distance = Speed * Time
240 + Length of the tunnel = (100/3) * (12.6T)
240 + Length of the tunnel = (42/10) * (126T)
240 + Length of the tunnel = 42 * 12.6T
Length of the tunnel = (42 * 12.6T) - 240
Length of the tunnel = 529.2T - 240

Substituting the value of T = 8.4, we get:
Length of the tunnel = (529.2 * 8.4) - 240
Length of the tunnel = 4444.08 - 240
Length of the tunnel = 4204.08 meters

Therefore, the length of the tunnel is approximately 4204.08 meters.

The correct answer is option D) 700 meters.
Explore Courses for Banking Exams exam

Similar Banking Exams Doubts

Directions: Study the following information carefully and answer the questions given below.Six buses P, Q, R, S, T and U are made to stand in a row facing north and the distance between two adjacent buses increases from left to right, in consecutive integral multiple of 5. Only two buses stand between P and U, one of them stands at the right end of the row. The distance between R and T is 105 meters. The distance between T and U is 95 meters. T stands somewhere to the left of U. S stands immediate to the left of P. Only one bus stands between S and T. Bus U starts towards North, after moving 30 meters, it turns to its right and moved 10 meters. Again it turns left and moves 5 meters it reaches at a point A. Bus P, moves in the South direction for a distance of 10 meters and then turns to its left and moves 50 meters. After taking one more turn to its left it stops at point B after moving 5 meters. Bus R, moves west and travels 10 meters before turning to its right. After moving 20 meters it takes the right turn and moves 5 meters. After taking one more turn to its left it stops at point C after moving 15 meters.Q. What is the distance between bus S and bus Q?

Directions: Study the following information carefully and answer the questions given below.Six buses P, Q, R, S, T and U are made to stand in a row facing north and the distance between two adjacent buses increases from left to right, in consecutive integral multiple of 5. Only two buses stand between P and U, one of them stands at the right end of the row. The distance between R and T is 105 meters. The distance between T and U is 95 meters. T stands somewhere to the left of U. S stands immediate to the left of P. Only one bus stands between S and T. Bus U starts towards North, after moving 30 meters, it turns to its right and moved 10 meters. Again it turns left and moves 5 meters it reaches at a point A. Bus P, moves in the South direction for a distance of 10 meters and then turns to its left and moves 50 meters. After taking one more turn to its left it stops at point B after moving 5 meters. Bus R, moves west and travels 10 meters before turning to its right. After moving 20 meters it takes the right turn and moves 5 meters. After taking one more turn to its left it stops at point C after moving 15 meters.Q. What is the position of Car P with respect of point C?

Top Courses for Banking ExamsView all

Top Courses for Banking Exams

A 240 meters long train running at the speed of 120 km/hr passed a 280 meters long platform in T second. If train passed a tunnel in (12.6 + T) sec then find the length of tunnel?a)710 metersb)740 metersc)720 metersd)700 meterse)760 metersCorrect answer is option 'D'. Can you explain this answer?
Question Description
A 240 meters long train running at the speed of 120 km/hr passed a 280 meters long platform in T second. If train passed a tunnel in (12.6 + T) sec then find the length of tunnel?a)710 metersb)740 metersc)720 metersd)700 meterse)760 metersCorrect answer is option 'D'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A 240 meters long train running at the speed of 120 km/hr passed a 280 meters long platform in T second. If train passed a tunnel in (12.6 + T) sec then find the length of tunnel?a)710 metersb)740 metersc)720 metersd)700 meterse)760 metersCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 240 meters long train running at the speed of 120 km/hr passed a 280 meters long platform in T second. If train passed a tunnel in (12.6 + T) sec then find the length of tunnel?a)710 metersb)740 metersc)720 metersd)700 meterse)760 metersCorrect answer is option 'D'. Can you explain this answer?.
Solutions for A 240 meters long train running at the speed of 120 km/hr passed a 280 meters long platform in T second. If train passed a tunnel in (12.6 + T) sec then find the length of tunnel?a)710 metersb)740 metersc)720 metersd)700 meterse)760 metersCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams. Download more important topics, notes, lectures and mock test series for Banking Exams Exam by signing up for free.
Here you can find the meaning of A 240 meters long train running at the speed of 120 km/hr passed a 280 meters long platform in T second. If train passed a tunnel in (12.6 + T) sec then find the length of tunnel?a)710 metersb)740 metersc)720 metersd)700 meterse)760 metersCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A 240 meters long train running at the speed of 120 km/hr passed a 280 meters long platform in T second. If train passed a tunnel in (12.6 + T) sec then find the length of tunnel?a)710 metersb)740 metersc)720 metersd)700 meterse)760 metersCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A 240 meters long train running at the speed of 120 km/hr passed a 280 meters long platform in T second. If train passed a tunnel in (12.6 + T) sec then find the length of tunnel?a)710 metersb)740 metersc)720 metersd)700 meterse)760 metersCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A 240 meters long train running at the speed of 120 km/hr passed a 280 meters long platform in T second. If train passed a tunnel in (12.6 + T) sec then find the length of tunnel?a)710 metersb)740 metersc)720 metersd)700 meterse)760 metersCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A 240 meters long train running at the speed of 120 km/hr passed a 280 meters long platform in T second. If train passed a tunnel in (12.6 + T) sec then find the length of tunnel?a)710 metersb)740 metersc)720 metersd)700 meterse)760 metersCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
Explore Courses for Banking Exams exam

Top Courses for Banking Exams

Explore Courses
SaveJoin the Discussion on the App for FREE
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
Get App
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup