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CAT Exam  >  CAT Tests  >  Test: Problems On Trains- 1 (May 27) - CAT MCQ

Test: Problems On Trains- 1 (May 27) - CAT MCQ


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10 Questions MCQ Test - Test: Problems On Trains- 1 (May 27)

Test: Problems On Trains- 1 (May 27) for CAT 2024 is part of CAT preparation. The Test: Problems On Trains- 1 (May 27) questions and answers have been prepared according to the CAT exam syllabus.The Test: Problems On Trains- 1 (May 27) MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Problems On Trains- 1 (May 27) below.
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Test: Problems On Trains- 1 (May 27) - Question 1
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A train passes a platform in 36 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is:

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Test: Problems On Trains- 1 (May 27) - Question 2
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A train moves past a post and a platform 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

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Test: Problems On Trains- 1 (May 27) - Question 3
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Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?

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Test: Problems On Trains- 1 (May 27) - Question 4
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Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is
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Test: Problems On Trains- 1 (May 27) - Question 5
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A train having a length of 1/4 mile , is traveling at a speed of 75 mph. It enters a tunnel 3 ½ miles long. How long does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
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Test: Problems On Trains- 1 (May 27) - Question 6
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A train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the train?
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Test: Problems On Trains- 1 (May 27) - Question 7
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A train overtakes two persons who are walking in the same direction to that of the train at 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. What is the length of the train?
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Test: Problems On Trains- 1 (May 27) - Question 8
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A train is traveling at 48 kmph . It crosses another train having half of its length , traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. What is the length of the platform?
Detailed Solution for Test: Problems On Trains- 1 (May 27) - Question 8

► Let the length of the train traveling at 48 kmph be 2x meters. 

► And length of the platform is y meters.

► Relative speed of train = (48+42) kmph

= (90*5/18) = 25 m/sec;

And 48 kmph = 48*5/18 = 40/3 m/sec.

 

► According to the question,

(2x +x)/25 = 12;

Or, 3x = 12*25 = 300;

Or, x = 300/3 = 100m 

► Then, length of the train = 2x = 100*2 = 200m.

200+y/(40/3) = 45;

600+3y = 40*45;

Or, 3y = 1800-600 = 1200;

Or, y = 1200/3 = 400 m.

► Length of the platform = 400 m.

Test: Problems On Trains- 1 (May 27) - Question 9
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A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
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Test: Problems On Trains- 1 (May 27) - Question 10
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Two trains, each 100 m long are moving in opposite directions. They cross each other in 8 seconds. If one is moving twice as fast the other, the speed of the faster train is
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