Problems on Trainsरेलगाड़ी संबंधी प्रश्न questions and answersप्रश्न और उत्तर

How problems on trains worksरेलगाड़ी संबंधी प्रश्न को समझिए

To pass a pole or a standing person, the train covers its own length. To pass a platform, bridge or tunnel, it covers its length plus that object’s length.

For two trains, use relative speed: add the speeds when they move towards each other, subtract when they move in the same direction. The distance is the sum of both lengths.

Convert units first. Lengths are usually in metres and speeds in km/h; multiply km/h by 5/18 to get m/s.

Each trick says when to use it, why it works and when it fails. Formula tricks are checked by code over their whole range.हर ट्रिक बताती है कि उसे कब इस्तेमाल करें, वह क्यों काम करती है और कब नहीं। सूत्र वाली ट्रिक्स को कोड से उनकी पूरी रेंज पर जाँचा गया है।

Answers and full solutions are shown. Hide them to test yourself first.उत्तर और पूरे हल दिखाए गए हैं। पहले खुद को परखने के लिए इन्हें छिपाइए।

1. Example 1उदाहरण 1 · Trains crossing poles, platforms and other trains · Easyआसान

   The Ahmedabad–Vadodara Shatabdi Express running at 108 km/h crosses a signal pole in 20 seconds. What is the length of the train (in metres)?

   1. 500 m
   2. 600 m
   3. 700 m
   4. 800 m
   Answer:उत्तर: 600 m

   1. Speed = 108 × 5/18 = 30 m/s.
   2. Length = 30 × 20 = 600 m.

2. Example 2उदाहरण 2 · Trains crossing poles, platforms and other trains · Mediumमध्यम

   A 170 m long goods train running at 72 km/h crosses a 170 m long platform at Mumbai station. How many seconds does it take?

   1. 13 seconds
   2. 14 seconds
   3. 17 seconds
   4. 21 seconds
   Answer:उत्तर: 17 seconds

   1. Distance = 170 + 170 = 340 m.
   2. Speed = 72 × 5/18 = 20 m/s.
   3. Time = 340 ÷ 20 = 17 s.

3. Example 3उदाहरण 3 · Trains crossing poles, platforms and other trains · Hardकठिन

   Two trains, 130 m and 165 m long, run on parallel tracks between Mumbai and Pune at 108 km/h and 90 km/h in the same direction. How many seconds do they take to cross each other completely?

   1. 59 seconds
   2. 65 seconds
   3. 71 seconds
   4. 74 seconds
   Answer:उत्तर: 59 seconds

   1. Relative speed = 18 km/h × 5/18 = 5 m/s.
   2. Distance = 130 + 165 = 295 m.
   3. Time = 295 ÷ 5 = 59 s.

4. Example 4उदाहरण 4 · Trains crossing poles, platforms and other trains · Mediumमध्यम

   A 320 m long Duronto Express running at 72 km/h crosses a 240 m long platform at Lucknow station. How many seconds does it take?

   1. 21 seconds
   2. 28 seconds
   3. 34 seconds
   4. 35 seconds
   Answer:उत्तर: 28 seconds

   1. Distance = 320 + 240 = 560 m.
   2. Speed = 72 × 5/18 = 20 m/s.
   3. Time = 560 ÷ 20 = 28 s.

5. Example 5उदाहरण 5 · Trains crossing poles, platforms and other trains · Mediumमध्यम

   A 190 m long Vande Bharat Express running at 54 km/h crosses a 140 m long platform at Howrah station. How many seconds does it take?

   1. 17 seconds
   2. 20 seconds
   3. 22 seconds
   4. 24 seconds
   Answer:उत्तर: 22 seconds

   1. Distance = 190 + 140 = 330 m.
   2. Speed = 54 × 5/18 = 15 m/s.
   3. Time = 330 ÷ 15 = 22 s.

6. Example 6उदाहरण 6 · Trains crossing poles, platforms and other trains · Mediumमध्यम

   A 360 m long goods train running at 108 km/h crosses a 450 m long platform at Delhi station. How many seconds does it take?

   1. 24 seconds
   2. 27 seconds
   3. 30 seconds
   4. 32 seconds
   Answer:उत्तर: 27 seconds

   1. Distance = 360 + 450 = 810 m.
   2. Speed = 108 × 5/18 = 30 m/s.
   3. Time = 810 ÷ 30 = 27 s.

Common mistakesआम गलतियाँ

• Forgetting to add the platform length.
• Mixing km/h with metres and seconds.
• Adding speeds for trains moving in the same direction.

Frequently asked questionsअक्सर पूछे जाने वाले प्रश्न