Problems On Trains

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 & Explanation Answer: Option E 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. Workspace Report Errors Kindly mention the details of the error here...<br /> <br /> <br /> <br /> <br /> [Your Name]<br /> [Your Email] View Answer Workspace Report Discuss in Forum

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3.

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

A. 200 m B. 225 m C. 245 m D. 250 m Answer & Explanation Answer: Option E Explanation: Speed = 45 x 5 m/sec = 25 m/sec. 18 2 Time = 30 sec. Let the length of bridge be x metres. Then, 130 + x = 25 30 2 2(130 + x) = 750 x = 245 m. Workspace Report Errors Kindly mention the details of the error here...<br /> <br /> <br /> <br /> <br /> [Your Name]<br /> [Your Email] View Answer Workspace Report Discuss in Forum

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4.

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

A. 1 : 3 B. 3 : 2 C.td> 3 : 4 D. None of these Answer & Explanation Answer: Option B Explanation: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27x metres, and length of the second train = 17y metres. 27x + 17y = 23 x+ y 27x + 17y = 23x + 23y 4x = 6y x = 3 . y 2 Workspace Report Errors Kindly mention the details of the error here...<br /> <br /> <br /> <br /> <br /> [Your Name]<br /> [Your Email] View Answer Workspace Report Discuss in Forum

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5.

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

A. 120 m B. 240 m C. 300 m D. None of these Answer & Explanation Answer: Option E Explanation: Speed = 54 x 5 m/sec = 15 m/sec. 18 Length of the train = (15 x 20)m = 300 m. Let the length of the platform be x metres. Then, x + 300 = 15 36 x + 300 = 540 x = 240 m. Workspace Report Errors Kindly mention the details of the error here...<br /> <br /> <br /> <br /> <br /> [Your Name]<br /> [Your Email] View Answer Workspace Report Discuss in Forum

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