Question 1

Two trains are moving towards each other on parallel tracks. Train A travels at 45 km/h and Train B travels at 55 km/h. If they are initially 400 km apart, in how many hours will they meet?

Accepted Answer

Step 1: When two objects move towards each other, their relative speed is the sum of their individual speeds. Step 2: Relative speed = 45 + 55 = 100 km/h. Step 3: Time = Distance ÷ Relative Speed = 400 ÷ 100 = 4 hours. Therefore, the answer is 4 hours.

Question 2

A train travels 180 km in 3 hours. At the same speed, how far will it travel in 7 hours?

Accepted Answer

Step 1: Calculate the speed using Speed = Distance ÷ Time = 180 ÷ 3 = 60 km/h. Step 2: Calculate distance for 7 hours using Distance = Speed × Time = 60 × 7 = 420 km. Therefore, the answer is 420 km.

Question 3

A train travels 240 km in 4 hours at a constant speed. What is the speed of the train in km/h?

Accepted Answer

Step 1: Use the formula Speed = Distance ÷ Time. Step 2: Speed = 240 ÷ 4 = 60 km/h. Therefore, the answer is 60 km/h.

Question 4

Train A travels at 72 km/h and Train B travels at 54 km/h. If both trains start from the same point and travel in the same direction, how far apart will they be after 3 hours?

Accepted Answer

Step 1: Calculate distance covered by Train A: Distance = Speed × Time = 72 × 3 = 216 km. Step 2: Calculate distance covered by Train B: Distance = 54 × 3 = 162 km. Step 3: Find the difference: 216 − 162 = 54 km. Therefore, the answer is 54 km.

Question 5

A train covers 180 metres in 9 seconds. How long will it take to cover 400 metres at the same speed?

Accepted Answer

Step 1: Find speed using Speed = Distance ÷ Time. Speed = 180 ÷ 9 = 20 m/s. Step 2: Use Time = Distance ÷ Speed. Time = 400 ÷ 20 = 20 seconds. Therefore, the answer is 20 seconds.

Question 6

A train of length 150 metres passes a stationary pole in 10 seconds. What is the speed of the train in m/s?

Accepted Answer

Step 1: When a train passes a pole, the distance covered equals the length of the train. Distance = 150 metres. Step 2: Use Speed = Distance ÷ Time. Speed = 150 ÷ 10 = 15 m/s. Therefore, the answer is 15 m/s.

Question 7

Two trains are moving towards each other on parallel tracks. Train X travels at 60 km/h and Train Y travels at 40 km/h. If they are initially 500 km apart, in how many hours will they meet?

Accepted Answer

Step 1: When trains move towards each other, their relative speed is the sum of their individual speeds. Relative speed = 60 + 40 = 100 km/h. Step 2: Use Time = Distance ÷ Relative Speed. Time = 500 ÷ 100 = 5 hours. Therefore, the answer is 5 hours.

Question 8

A train of length 200 metres crosses a platform of length 300 metres in 25 seconds. What is the speed of the train in km/h?

Accepted Answer

Step 1: When a train crosses a platform, total distance = train length + platform length = 200 + 300 = 500 metres. Step 2: Speed in m/s = Distance ÷ Time = 500 ÷ 25 = 20 m/s. Step 3: Convert to km/h: 20 × (18/5) = 20 × 3.6 = 72 km/h. Therefore, the answer is 72 km/h.

Question 9

A train moving at 72 km/h needs to cross a platform of length 200 m. If the train's length is 100 m, how much time (in seconds) will it take to completely cross the platform?

Accepted Answer

Step 1: Convert speed to m/s: 72 km/h = 72 × (5/18) = 20 m/s. Step 2: Total distance to cover = train length + platform length = 100 + 200 = 300 m. Step 3: Time = Distance ÷ Speed = 300 ÷ 20 = 15 seconds. Therefore, the answer is 15 seconds.

Question 10

Train X and Train Y start from the same station at the same time. Train X travels at 80 km/h and Train Y at 60 km/h in the same direction. After 3 hours, Train Y stops for 30 minutes. How far apart are they when Train Y resumes its journey?

Accepted Answer

Step 1: In 3 hours, Train X covers: 80 × 3 = 240 km. Step 2: In 3 hours, Train Y covers: 60 × 3 = 180 km. Step 3: When Train Y stops, Train X continues for 30 minutes (0.5 hours) at 80 km/h, covering: 80 × 0.5 = 40 km. Step 4: Total distance of Train X when Train Y resumes: 240 + 40 = 280 km. Step 5: Distance between them: 280 − 180 = 100 km.

Question 11

Two trains, P and Q, are 360 km apart and moving towards each other. Train P travels at 60 km/h and Train Q at 40 km/h. After how many hours will they meet?

Accepted Answer

Step 1: When two trains move towards each other, their relative speed = Speed of P + Speed of Q = 60 + 40 = 100 km/h. Step 2: Time to meet = Total distance / Relative speed = 360 / 100 = 3.6 hours = 3 hours 36 minutes.

Question 12

Train A of length 150 m crosses a stationary platform in 15 seconds. What is the length of the platform if Train A crosses a pole in 10 seconds?

Accepted Answer

Step 1: Train A crosses a pole (point object) in 10 seconds. Distance = Length of train = 150 m. Speed = 150/10 = 15 m/s. Step 2: Train A crosses the platform (150 m train + platform length) in 15 seconds. Distance = 150 + L, where L is platform length. Using Speed = Distance/Time: 15 = (150 + L)/15. Step 3: 150 + L = 225, so L = 75 m.

Question 13

A train of length 200 m is moving at 72 km/h. How long will it take to completely cross another train of length 100 m moving at 36 km/h in the same direction?

Accepted Answer

Step 1: Convert speeds to m/s: Train 1 = 72 × (5/18) = 20 m/s, Train 2 = 36 × (5/18) = 10 m/s. Step 2: Since trains move in the same direction, relative speed = 20 − 10 = 10 m/s. Step 3: Total distance to cover = Length of Train 1 + Length of Train 2 = 200 + 100 = 300 m. Step 4: Time = Distance / Relative speed = 300 / 10 = 30 seconds.

Question 14

A train crosses a bridge of length 500 m in 60 seconds and a tunnel of length 800 m in 90 seconds. Find the speed of the train.

Accepted Answer

Step 1: Let train length = L and speed = v m/s. Step 2: For bridge: L + 500 = v × 60 → L + 500 = 60v ... (1). Step 3: For tunnel: L + 800 = v × 90 → L + 800 = 90v ... (2). Step 4: Subtract (1) from (2): (L + 800) − (L + 500) = 90v − 60v → 300 = 30v → v = 10 m/s. Step 5: Convert to km/h: 10 × (18/5) = 36 km/h.

Question 15

A train takes 50 seconds to cross a platform of length 450 m. The same train takes 30 seconds to cross a signal post. What is the length of the train?

Accepted Answer

Step 1: When a train crosses a signal post (point object), the distance covered = Length of train. Time = 30 seconds. Speed = Length of train / 30. Step 2: When a train crosses a platform, distance = Length of train + Length of platform = L + 450. Time = 50 seconds. Speed = (L + 450) / 50. Step 3: Since speed is constant: L/30 = (L + 450)/50. Step 4: Cross-multiply: 50L = 30(L + 450) → 50L = 30L + 13500 → 20L = 13500 → L = 675 m.

Question 16

Two trains start simultaneously from stations X and Y, which are 360 km apart. Train P travels from X to Y at 60 km/h, and Train Q travels from Y to X at 40 km/h. After how many hours will they meet?

Accepted Answer

Step 1: When two trains travel towards each other, their relative speed = Sum of individual speeds = 60 + 40 = 100 km/h. Step 2: They need to cover the total distance between them = 360 km. Step 3: Time to meet = Total Distance / Relative Speed = 360 / 100 = 3.6 hours.

Question 17

A train 200 m long is running at 72 km/h. How long will it take to pass a man standing on the platform?

Accepted Answer

Step 1: Convert speed from km/h to m/s: 72 km/h = 72 × (5/18) = 20 m/s. Step 2: To pass a man standing on the platform, the train must cover a distance equal to its own length = 200 m. Step 3: Time = Distance / Speed = 200 / 20 = 10 seconds.

Question 18

Two trains, A and B, start simultaneously from stations X and Y respectively, which are 480 km apart. Train A travels at 60 km/h towards Y, while train B travels at 40 km/h towards X. After how many hours will they meet, and at what distance from station X?

Accepted Answer

Step 1: When two trains move towards each other, their relative speed = 60 + 40 = 100 km/h. Step 2: Time to meet = Total distance ÷ Relative speed = 480 ÷ 100 = 4.8 hours. Step 3: Distance from X = Speed of A × Time = 60 × 4.8 = 288 km. Therefore, they meet after 4.8 hours at 288 km from station X.

Question 19

A train crosses a platform of length 150 m in 18 seconds and a pole in 12 seconds. What is the length of the train?

Accepted Answer

Step 1: Let the length of the train be L metres. Step 2: When crossing a pole, the train travels its own length: L = Speed × 12. Step 3: When crossing the platform, the train travels L + 150: L + 150 = Speed × 18. Step 4: From equation 1, Speed = L/12. Step 5: Substitute in equation 2: L + 150 = (L/12) × 18 = 1.5L. Step 6: 150 = 1.5L - L = 0.5L, so L = 300 m. Therefore, the length of the train is 300 m.

Question 20

Train X and Train Y run on parallel tracks. Train X is 240 m long and travels at 72 km/h. Train Y is 260 m long and travels at 54 km/h in the same direction. How long does it take for Train X to completely overtake Train Y?

Accepted Answer

Step 1: Convert speeds to m/s: Train X = 72 × (5/18) = 20 m/s; Train Y = 54 × (5/18) = 15 m/s. Step 2: Relative speed (same direction) = 20 - 15 = 5 m/s. Step 3: Total distance to cover for complete overtaking = Length of X + Length of Y = 240 + 260 = 500 m. Step 4: Time = Distance ÷ Relative speed = 500 ÷ 5 = 100 seconds. Therefore, Train X takes 100 seconds to completely overtake Train Y.

SSC CHSL Trains

Trains— Rules & Concept

Key Points to Remember

Exam-Specific Tips

Trains — Practice Questions

60-Second Revision — Trains