Problems on Trains

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Problems on Trains MCQ & Objective Questions

Understanding "Problems on Trains" is crucial for students preparing for various exams in India. This topic not only enhances your problem-solving skills but also plays a significant role in scoring well in objective tests. Practicing MCQs and objective questions on this subject helps reinforce key concepts and improves your exam readiness. By tackling important questions, you can boost your confidence and performance in both school and competitive exams.

What You Will Practise Here

  • Relative speed concepts and calculations
  • Time taken by trains to cross each other
  • Distance, speed, and time relationship
  • Train length and speed problems
  • Concept of moving trains and stationary observers
  • Application of formulas in real-life scenarios
  • Common diagrams illustrating train problems

Exam Relevance

The topic of "Problems on Trains" frequently appears in CBSE, State Boards, NEET, and JEE exams. Students can expect questions that test their understanding of speed, distance, and time relationships, often framed in real-world scenarios. Common question patterns include calculating the time taken for two trains to cross each other or determining the speed of a train based on given distances and times. Mastering this topic is essential for achieving high scores in these competitive assessments.

Common Mistakes Students Make

  • Confusing relative speed with absolute speed
  • Miscalculating the time taken to cross stationary objects
  • Ignoring the direction of movement when calculating relative speed
  • Overlooking the importance of units in speed and distance
  • Failing to visualize the problem, leading to incorrect assumptions

FAQs

Question: What is the formula for calculating the time taken by two trains to cross each other?
Answer: The time taken to cross each other is calculated using the formula: Time = (Length of Train 1 + Length of Train 2) / Relative Speed.

Question: How do I approach Problems on Trains in exams?
Answer: Start by identifying the key variables (speed, distance, time) and use the appropriate formulas to solve the problem step by step.

Now is the time to enhance your understanding of "Problems on Trains." Dive into our practice MCQs and test your knowledge to ensure you are well-prepared for your exams. Remember, consistent practice is the key to success!

Q. A train 150 meters long is moving at a speed of 72 km/h. How long will it take to cross a bridge 300 meters long?
  • A. 15 seconds
  • B. 20 seconds
  • C. 25 seconds
  • D. 30 seconds
Q. A train covers a distance of 120 km at a speed of 60 km/h. How much time does it take?
  • A. 1 hour
  • B. 2 hours
  • C. 3 hours
  • D. 4 hours
Q. A train covers a distance of 150 km at a speed of 75 km/h. How much time does it take?
  • A. 1 hour
  • B. 2 hours
  • C. 3 hours
  • D. 4 hours
Q. A train covers a distance of 300 km at a speed of 75 km/h. How much time does it take to cover this distance?
  • A. 4 hours
  • B. 5 hours
  • C. 6 hours
  • D. 7 hours
Q. A train covers a distance of 300 km at a speed of 75 km/h. How much time will it take to cover this distance?
  • A. 3 hours
  • B. 4 hours
  • C. 5 hours
  • D. 6 hours
Q. A train crosses a bridge in 20 seconds. If the length of the train is 200 meters and the speed is 60 km/h, what is the length of the bridge?
  • A. 100 m
  • B. 150 m
  • C. 200 m
  • D. 250 m
Q. A train is 200 meters long and is moving at a speed of 72 km/h. How long will it take to completely pass a pole?
  • A. 6 seconds
  • B. 8 seconds
  • C. 10 seconds
  • D. 12 seconds
Q. A train leaves a station and travels at 90 km/h. How far will it travel in 1.5 hours?
  • A. 120 km
  • B. 135 km
  • C. 150 km
  • D. 165 km
Q. A train leaves a station and travels at 90 km/h. How far will it travel in 3 hours?
  • A. 180 km
  • B. 270 km
  • C. 300 km
  • D. 360 km
Q. A train leaves a station and travels at a speed of 90 km/h. How far will it travel in 3 hours?
  • A. 240 km
  • B. 270 km
  • C. 300 km
  • D. 330 km
Q. A train leaves a station and travels at a speed of 90 km/h. How far will it travel in 1.5 hours?
  • A. 120 km
  • B. 135 km
  • C. 150 km
  • D. 165 km
Q. A train leaves station A at 10:00 AM and reaches station B at 12:00 PM. If the distance between the two stations is 180 km, what is the speed of the train?
  • A. 70 km/h
  • B. 80 km/h
  • C. 90 km/h
  • D. 100 km/h
Q. A train leaves station A at 10:00 AM and reaches station B at 12:00 PM. If the distance between A and B is 180 km, what is the speed of the train?
  • A. 70 km/h
  • B. 80 km/h
  • C. 90 km/h
  • D. 100 km/h
Q. A train leaves station A at 10:00 AM and reaches station B at 12:00 PM. If the distance between the two stations is 200 km, what is the speed of the train?
  • A. 80 km/h
  • B. 90 km/h
  • C. 100 km/h
  • D. 110 km/h
Q. A train leaves station A at 10:00 AM and travels at a speed of 80 km/h. If it reaches station B at 1:00 PM, how far is station B from station A?
  • A. 200 km
  • B. 240 km
  • C. 300 km
  • D. 320 km
Q. A train leaves station A at 9:00 AM and reaches station B at 11:30 AM. If the distance is 150 km, what is the average speed of the train?
  • A. 60 km/h
  • B. 70 km/h
  • C. 75 km/h
  • D. 80 km/h
Q. A train takes 10 seconds to cross a bridge that is 300 meters long. If the train is 200 meters long, what is the speed of the train?
  • A. 30 m/s
  • B. 25 m/s
  • C. 20 m/s
  • D. 15 m/s
Q. A train takes 10 seconds to cross a pole. If the length of the train is 150 meters, what is the speed of the train in km/h?
  • A. 54 km/h
  • B. 60 km/h
  • C. 72 km/h
  • D. 80 km/h
Q. A train takes 10 seconds to cross a pole. If the train is 150 meters long, what is its speed?
  • A. 15 m/s
  • B. 20 m/s
  • C. 25 m/s
  • D. 30 m/s
Q. A train takes 10 seconds to cross a pole. If the train is 200 meters long, what is its speed?
  • A. 18 km/h
  • B. 36 km/h
  • C. 54 km/h
  • D. 72 km/h
Q. A train takes 10 seconds to pass a pole. If the train is 200 meters long, what is its speed in km/h?
  • A. 36 km/h
  • B. 72 km/h
  • C. 54 km/h
  • D. 48 km/h
Q. A train takes 3 hours to travel from city X to city Y. If the distance is 240 km, what is the speed of the train?
  • A. 70 km/h
  • B. 80 km/h
  • C. 90 km/h
  • D. 100 km/h
Q. A train travels 240 km at a speed of 80 km/h. How long does it take to complete the journey?
  • A. 2 hours
  • B. 3 hours
  • C. 4 hours
  • D. 5 hours
Q. A train travels 60 km at a speed of 30 km/h. How long does it take to cover this distance?
  • A. 1 hour
  • B. 2 hours
  • C. 3 hours
  • D. 4 hours
Q. A train travels 90 km in 1.5 hours. What is its speed in km/h?
  • A. 50 km/h
  • B. 55 km/h
  • C. 60 km/h
  • D. 65 km/h
Q. A train travels at a speed of 120 km/h. How far will it travel in 45 minutes?
  • A. 80 km
  • B. 90 km
  • C. 100 km
  • D. 110 km
Q. A train travels at a speed of 60 km/h and takes 3 hours to reach its destination. What is the distance covered by the train?
  • A. 150 km
  • B. 180 km
  • C. 200 km
  • D. 240 km
Q. A train travels at a speed of 90 km/h. How long will it take to travel 450 km?
  • A. 4 hours
  • B. 5 hours
  • C. 6 hours
  • D. 7 hours
Q. A train travels from City A to City B at a speed of 120 km/h and returns at 80 km/h. What is the average speed for the entire journey?
  • A. 96 km/h
  • B. 100 km/h
  • C. 110 km/h
  • D. 120 km/h
Q. A train travels from City A to City B, a distance of 200 km, at a speed of 100 km/h. If it stops for 30 minutes, what is the total time taken for the journey?
  • A. 1.5 hours
  • B. 2 hours
  • C. 2.5 hours
  • D. 3 hours
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