UCAT Exam > UCAT Questions > Running at a speed of 60 km per hour, a train...
Start Learning for Free
Running at a speed of 60 km per hour, a train passed through a 1.5 km long tunnel in two minutes, What is the length of the train ?
- a)250 m
- b)500 m
- c)1000 m
- d)1500 m
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Running at a speed of 60 km per hour, a train passed through a 1.5 km ...
Let the length of the train be L
According to the question,
Total distance = 1500 m + L
Speed = 60(5/18)
⇒ 50/3 m/sec
Time = 2 × 60 = 120 sec
⇒ 1500 + L = (50/3)× 120
⇒ L = 2000 - 1500
⇒ L = 500 m
∴ The length of the train is 500 m.
Most Upvoted Answer
Running at a speed of 60 km per hour, a train passed through a 1.5 km ...
To solve this problem, we need to find the length of the train. We are given the speed of the train and the time it takes to pass through a tunnel.
Let's start by converting the speed from kilometers per hour to meters per second.
1 kilometer = 1000 meters
1 hour = 60 minutes = 60 * 60 seconds = 3600 seconds
So, the speed of the train is 60 km/h * (1000 m/km) / (3600 s/h) = 16.67 m/s (rounded to two decimal places).
Next, we need to find the time it takes for the train to pass through the tunnel. We are given that it takes 2 minutes.
1 minute = 60 seconds
So, the time in seconds is 2 minutes * 60 seconds/minute = 120 seconds.
Now, we can use the formula speed = distance/time to find the distance traveled by the train in 2 minutes.
Distance = Speed * Time = 16.67 m/s * 120 s = 2000 meters.
The distance traveled by the train in 2 minutes is 2000 meters.
Since the train passes through a 1.5 km long tunnel, the length of the train is the difference between the distance traveled and the length of the tunnel.
Length of train = Distance - Length of tunnel = 2000 meters - 1500 meters = 500 meters.
Therefore, the length of the train is 500 meters.
So, the correct answer is option B) 500 m.
Let's start by converting the speed from kilometers per hour to meters per second.
1 kilometer = 1000 meters
1 hour = 60 minutes = 60 * 60 seconds = 3600 seconds
So, the speed of the train is 60 km/h * (1000 m/km) / (3600 s/h) = 16.67 m/s (rounded to two decimal places).
Next, we need to find the time it takes for the train to pass through the tunnel. We are given that it takes 2 minutes.
1 minute = 60 seconds
So, the time in seconds is 2 minutes * 60 seconds/minute = 120 seconds.
Now, we can use the formula speed = distance/time to find the distance traveled by the train in 2 minutes.
Distance = Speed * Time = 16.67 m/s * 120 s = 2000 meters.
The distance traveled by the train in 2 minutes is 2000 meters.
Since the train passes through a 1.5 km long tunnel, the length of the train is the difference between the distance traveled and the length of the tunnel.
Length of train = Distance - Length of tunnel = 2000 meters - 1500 meters = 500 meters.
Therefore, the length of the train is 500 meters.
So, the correct answer is option B) 500 m.
Free Test
FREE
| Start Free Test |
Community Answer
Running at a speed of 60 km per hour, a train passed through a 1.5 km ...
Let the length of the train be L
According to the question,
Total distance = 1500 m + L
Speed = 60(5/18)
⇒ 50/3 m/sec
Time = 2 × 60 = 120 sec
⇒ 1500 + L = (50/3)× 120
⇒ L = 2000 - 1500
⇒ L = 500 m
∴ The length of the train is 500 m.
|
Explore Courses for UCAT exam
|
|
Top Courses for UCATView all
Question Description
Running at a speed of 60 km per hour, a train passed through a 1.5 km long tunnel in two minutes, What is the length of the train ?a)250 mb)500 mc)1000 md)1500 me)None of theseCorrect answer is option 'B'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about Running at a speed of 60 km per hour, a train passed through a 1.5 km long tunnel in two minutes, What is the length of the train ?a)250 mb)500 mc)1000 md)1500 me)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Running at a speed of 60 km per hour, a train passed through a 1.5 km long tunnel in two minutes, What is the length of the train ?a)250 mb)500 mc)1000 md)1500 me)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Running at a speed of 60 km per hour, a train passed through a 1.5 km long tunnel in two minutes, What is the length of the train ?a)250 mb)500 mc)1000 md)1500 me)None of theseCorrect answer is option 'B'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about Running at a speed of 60 km per hour, a train passed through a 1.5 km long tunnel in two minutes, What is the length of the train ?a)250 mb)500 mc)1000 md)1500 me)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Running at a speed of 60 km per hour, a train passed through a 1.5 km long tunnel in two minutes, What is the length of the train ?a)250 mb)500 mc)1000 md)1500 me)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Running at a speed of 60 km per hour, a train passed through a 1.5 km long tunnel in two minutes, What is the length of the train ?a)250 mb)500 mc)1000 md)1500 me)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for UCAT.
Download more important topics, notes, lectures and mock test series for UCAT Exam by signing up for free.
Here you can find the meaning of Running at a speed of 60 km per hour, a train passed through a 1.5 km long tunnel in two minutes, What is the length of the train ?a)250 mb)500 mc)1000 md)1500 me)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Running at a speed of 60 km per hour, a train passed through a 1.5 km long tunnel in two minutes, What is the length of the train ?a)250 mb)500 mc)1000 md)1500 me)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Running at a speed of 60 km per hour, a train passed through a 1.5 km long tunnel in two minutes, What is the length of the train ?a)250 mb)500 mc)1000 md)1500 me)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Running at a speed of 60 km per hour, a train passed through a 1.5 km long tunnel in two minutes, What is the length of the train ?a)250 mb)500 mc)1000 md)1500 me)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Running at a speed of 60 km per hour, a train passed through a 1.5 km long tunnel in two minutes, What is the length of the train ?a)250 mb)500 mc)1000 md)1500 me)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice UCAT tests.
|
|
Explore Courses for UCAT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily