A train running at the speed of 60 km/hr crosses a pole in 9 seconds what is the length of the train

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Exercise :: Problems on Trains - General Questions

1.	A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A. 120 metres B. 180 metres C. 324 metres D. 150 metres Answer: Option D Explanation: Speed = 60 x 5 m/sec = 50 m/sec. 18 3 Length of the train = (Speed x Time). Length of the train = 50 x 9 m = 150 m. 3 Video Explanation: https://youtu.be/q6Xy5JXNp-k

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2.	A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
A. 45 km/hr B. 50 km/hr C. 54 km/hr D. 55 km/hr Answer: Option B Explanation: Speed of the train relative to man = 125 m/sec 10    = 25 m/sec. 2    = 25 x 18 km/hr 2 5    = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 45         x = 50 km/hr.

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Exercise :: Problems on Trains - General Questions

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7.	Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:
A. 50 m B. 72 m C. 80 m D. 82 m Answer: Option A Explanation: Let the length of each train be x metres. Then, distance covered = 2x metres. Relative speed = (46 - 36) km/hr    = 10 x 5 m/sec 18    = 25 m/sec 9 2x = 25 36 9 2x = 100 x = 50.

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Exercise :: Problems on Trains - General Questions

11.	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?
A. 230 m B. 240 m C. 260 m D. 320 m E. None of these Answer: Option A Explanation: Relative speed = (120 + 80) km/hr    = 200 x 5 m/sec 18    = 500 m/sec. 9 Let the length of the other train be x metres. x + 270 = 500 x = 230.

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12.	A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
A. 230 m B. 240 m C. 260 m D. 270 m Answer: Option D Explanation: Speed = 72 x 5 m/sec = 20 m/sec. 18 Time = 26 sec. Let the length of the train be x metres. x + 250 = 520 x = 270.

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Exercise :: Problems on Trains - General Questions

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17.	A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:
Answer: Option C Explanation: Speed = 78 x 5 m/sec = 65 m/sec. 18 3 Time = 1 minute = 60 seconds. Let the length of the tunnel be x metres. Then, 800 + x = 65 60 3 3(800 + x) = 3900 x = 500.

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Exercise :: Problems on Trains - General Questions

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22.	Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
A. 12 sec B. 24 sec C. 48 sec D. 60 sec Answer: Option B Explanation: Relative speed = = (45 + 30) km/hr = 75 x 5 m/sec 18 = 125 m/sec. 6 We have to find the time taken by the slower train to pass the DRIVER of the faster train and not the complete train. So, distance covered = Length of the slower train. Therefore, Distance covered = 500 m. Required time = 500 x 6 = 24 sec. 125

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Exercise :: Problems on Trains - General Questions

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27.	A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:
A. 45 m B. 50 m C. 54 m D. 72 m Answer: Option B Explanation: 2 kmph = 2 x 5 m/sec = 5 m/sec. 18 9 4 kmph = 4 x 5 m/sec = 10 m/sec. 18 9 Let the length of the train be x metres and its speed by y m/sec. Then, x = 9 and x = 10. 9y - 5 = x and 10(9y - 10) = 9x 9y - x = 5 and 90y - 9x = 100. On solving, we get: x = 50. Length of the train is 50 m.

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28.	A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
A. 66 km/hr B. 72 km/hr C. 78 km/hr D. 81 km/hr Answer: Option D Explanation: 4.5 km/hr = 4.5 x 5 m/sec = 5 m/sec = 1.25 m/sec, and 18 4 5.4 km/hr = 5.4 x 5 m/sec = 3 m/sec = 1.5 m/sec. 18 2 Let the speed of the train be x m/sec. Then, (x - 1.25) x 8.4 = (x - 1.5) x 8.5 8.4x - 10.5 = 8.5x - 12.75 0.1x = 2.25 x = 22.5 Speed of the train = 22.5 x 18 km/hr = 81 km/hr. 5

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Exercise :: Problems on Trains - General Questions

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