Question 1

A train travels at 72 km/h. How long will it take to cover 360 km?

Accepted Answer

Step 1: Use the formula Time = Distance ÷ Speed. Step 2: Time = 360 ÷ 72 = 5 hours. Therefore, the train takes 5 hours to cover 360 km.

Question 2

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 speed of the train is 60 km/h.

Question 3

A train covers 180 km in 3 hours. How much distance will it cover in 7 hours at the same speed?

Accepted Answer

Step 1: Find the speed using Speed = Distance ÷ Time = 180 ÷ 3 = 60 km/h. Step 2: Find distance for 7 hours using Distance = Speed × Time = 60 × 7 = 420 km. Therefore, the train covers 420 km in 7 hours.

Question 4

Two trains are moving towards each other. Train A travels at 50 km/h and Train B travels at 40 km/h. If they are initially 270 km apart, in how many hours will they meet?

Accepted Answer

Step 1: When trains move towards each other, their relative speed = Speed of A + Speed of B = 50 + 40 = 90 km/h. Step 2: Time to meet = Distance ÷ Relative Speed = 270 ÷ 90 = 3 hours. Therefore, the trains will meet in 3 hours.

Question 5

A train 200 metres long crosses a platform 400 metres long in 12 seconds. What is the speed of the train in m/s?

Accepted Answer

Step 1: When a train crosses a platform, the total distance covered = Length of train + Length of platform = 200 + 400 = 600 metres. Step 2: Speed = Distance ÷ Time = 600 ÷ 12 = 50 m/s. Therefore, the speed of the train is 50 m/s.

Question 6

A train 150 metres long passes a stationary pole in 6 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 = 150 metres. Step 2: Use Speed = Distance ÷ Time = 150 ÷ 6 = 25 m/s. Therefore, the speed of the train is 25 m/s.

Question 7

A train 200 m long takes 20 seconds to pass a man standing on the platform. How long will it take to cross a bridge of length 400 m?

Accepted Answer

Step 1: When a train passes a man (point object), distance covered = length of train = 200 m. Speed = 200 ÷ 20 = 10 m/s. Step 2: To cross a bridge, the train must cover distance = length of train + length of bridge = 200 + 400 = 600 m. Step 3: Time = 600 ÷ 10 = 60 seconds.

Question 8

Train P and Train Q are running on parallel tracks in the same direction. Train P (length 120 m) runs at 80 km/h, and Train Q (length 80 m) runs at 60 km/h. How long will Train P take to completely overtake Train Q?

Accepted Answer

Step 1: When trains move in the same direction, relative speed = difference of speeds = 80 − 60 = 20 km/h. Step 2: Convert to m/s: 20 km/h = 20 × (5/18) = 50/9 m/s ≈ 5.56 m/s. Step 3: For complete overtaking, distance to cover = sum of lengths = 120 + 80 = 200 m. Step 4: Time = 200 ÷ (50/9) = 200 × (9/50) = 36 seconds.

Question 9

A train travels 240 km in 4 hours. If the train increases its speed by 20 km/h, how much time will it take to cover the same distance?

Accepted Answer

Step 1: Original speed = 240 ÷ 4 = 60 km/h. Step 2: New speed = 60 + 20 = 80 km/h. Step 3: Time at new speed = 240 ÷ 80 = 3 hours.

Question 10

Two trains start from the same station at the same time. Train M travels at 72 km/h and Train N travels at 54 km/h, both in the same direction. After 5 hours, how far apart will they be?

Accepted Answer

Step 1: Relative speed = 72 − 54 = 18 km/h (since they travel in the same direction). Step 2: Distance apart after 5 hours = Relative speed × Time = 18 × 5 = 90 km.

Question 11

Train A of length 150 m crosses a stationary platform in 15 seconds. Train B of length 100 m travels at twice the speed of Train A. How long will Train B take to cross the same platform?

Accepted Answer

Step 1: Find speed of Train A. Distance = Length of train + Platform length. For a platform, we assume negligible length, so distance ≈ 150 m. Speed of A = 150 ÷ 15 = 10 m/s. Step 2: Speed of Train B = 2 × 10 = 20 m/s. Step 3: Train B must cover its own length (100 m) to cross the platform. Time = 100 ÷ 20 = 5 seconds.

Question 12

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

Accepted Answer

Step 1: When two objects move towards each other, their relative speed = sum of individual speeds. Relative speed = 60 + 40 = 100 km/h. Step 2: Time to meet = Total distance ÷ Relative speed = 360 ÷ 100 = 3.6 hours.

Question 13

Train P and Train Q are 300 m and 200 m long respectively. They are moving in the same direction on parallel tracks at speeds of 80 km/h and 50 km/h respectively. How long will it take for train P to completely overtake train Q?

Accepted Answer

Step 1: Since trains move in the same direction, relative speed = 80 − 50 = 30 km/h. Step 2: Convert to m/s: 30 × (5/18) = 30 × 0.278 = 8.33 m/s (or 25/3 m/s). Step 3: For complete overtaking, distance to cover = Length of P + Length of Q = 300 + 200 = 500 m. Step 4: Time = Distance ÷ Relative speed = 500 ÷ (25/3) = 500 × (3/25) = 60 seconds. Therefore, train P takes 60 seconds to completely overtake train Q.

Question 14

A train travelling at 90 km/h crosses a man standing on a platform in 8 seconds. The same train crosses a bridge in 35 seconds. What is the length of the bridge?

Accepted Answer

Step 1: Convert train speed to m/s: 90 × (5/18) = 25 m/s. Step 2: Length of train = Speed × Time to cross man = 25 × 8 = 200 m. Step 3: When crossing the bridge, total distance = Length of train + Length of bridge. Time to cross bridge = (Length of train + Length of bridge) ÷ Speed. Step 4: 35 = (200 + Length of bridge) ÷ 25. Step 5: 200 + Length of bridge = 35 × 25 = 875 m. Step 6: Length of bridge = 875 − 200 = 675 m. Therefore, the bridge is 675 m long.

Question 15

Two trains start from the same station at the same time. Train A travels at 72 km/h and Train B travels at 54 km/h in the same direction. After 5 hours, Train A reduces its speed to 60 km/h. How far apart will the two trains be after a total of 8 hours from the start?

Accepted Answer

Step 1: For the first 5 hours, relative speed = 72 − 54 = 18 km/h. Distance covered by A in 5 hours = 72 × 5 = 360 km. Distance covered by B in 5 hours = 54 × 5 = 270 km. Gap after 5 hours = 360 − 270 = 90 km. Step 2: After 5 hours, Train A's speed becomes 60 km/h. Remaining time = 8 − 5 = 3 hours. Step 3: In the next 3 hours, relative speed = 60 − 54 = 6 km/h. Additional gap = 6 × 3 = 18 km. Step 4: Total gap = 90 + 18 = 108 km. Therefore, the trains are 108 km apart after 8 hours.

Question 16

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

Accepted Answer

Step 1: When two trains travel 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 P = Speed of A × Time = 60 × 4.8 = 288 km. Therefore, they meet after 4.8 hours at 288 km from station P.

Question 17

Train X of length 150 m crosses a stationary platform of length 250 m in 20 seconds. What is the speed of train X in km/h?

Accepted Answer

Step 1: When a train crosses a platform, total distance = Length of train + Length of platform = 150 + 250 = 400 m. Step 2: Speed = Distance ÷ Time = 400 ÷ 20 = 20 m/s. Step 3: Convert to km/h: 20 × (18/5) = 20 × 3.6 = 72 km/h. Therefore, speed of train X is 72 km/h.

Question 18

Train A and Train B are moving towards each other on parallel tracks. Train A travels at 50 km/h and Train B travels at 70 km/h. If they are initially 240 km apart, in how many hours will they meet?

Accepted Answer

Step 1: When two trains move towards each other, their relative speed = sum of their individual speeds = 50 + 70 = 120 km/h. Step 2: Time to meet = Distance ÷ Relative Speed = 240 ÷ 120 = 2 hours.

Question 19

A train crosses a stationary pole in 8 seconds. The length of the train is 160 metres. What is the speed of the train in km/h?

Accepted Answer

Step 1: When a train crosses a pole (a point), the distance covered = length of train only = 160 metres. Step 2: Speed = Distance ÷ Time = 160 ÷ 8 = 20 m/s. Step 3: Convert to km/h: 20 × (18/5) = 20 × 3.6 = 72 km/h.

Question 20

Train A and Train B are 450 km apart and travelling towards each other. Train A moves at 60 km/h and Train B moves at 90 km/h. 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. Relative speed = 60 + 90 = 150 km/h. Step 2: Time to meet = Distance ÷ Relative speed = 450 ÷ 150 = 3 hours.

Question 21

A train 200 metres long is moving at 72 km/h. How long will it take to completely cross a platform that is 400 metres long?

Accepted Answer

Step 1: Convert speed from km/h to m/s: 72 km/h = 72 × (5/18) = 20 m/s. Step 2: To completely cross the platform, the train must travel a distance equal to its own length plus the platform length. Total distance = 200 + 400 = 600 metres. Step 3: Time = Distance ÷ Speed = 600 ÷ 20 = 30 seconds.

Question 22

A train covers 360 km in 6 hours. If the train increases its speed by 20%, how much distance will it cover in 5 hours at the new speed?

Accepted Answer

Step 1: Calculate original speed: Speed = Distance ÷ Time = 360 ÷ 6 = 60 km/h. Step 2: Calculate new speed after 20% increase: New speed = 60 + (20% of 60) = 60 + 12 = 72 km/h. Step 3: Calculate distance covered in 5 hours at new speed: Distance = Speed × Time = 72 × 5 = 360 km.

Question 23

Two trains start from the same station at the same time. Train A travels at 60 km/h and Train B travels at 40 km/h in the same direction. After 3 hours, what is the distance between them?

Accepted Answer

Step 1: Calculate distance covered by Train A in 3 hours: Distance A = 60 × 3 = 180 km. Step 2: Calculate distance covered by Train B in 3 hours: Distance B = 40 × 3 = 120 km. Step 3: Find the difference: Distance between trains = 180 − 120 = 60 km.

Question 24

A train travels 180 km at a speed of 60 km/h. How much time does it take to cover this distance?

Accepted Answer

Step 1: Use the formula Time = Distance ÷ Speed. Step 2: Time = 180 km ÷ 60 km/h = 3 hours.

Question 25

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 objects move towards each other, their relative speed is the sum of individual speeds. Relative speed = 60 + 40 = 100 km/h. Step 2: Time to meet = Total distance / Relative speed = 360 / 100 = 3.6 hours.

Question 26

A train 200 m long takes 20 seconds to completely cross another train 160 m long coming from the opposite direction. If the first train travels at 54 km/h, what is the speed of the second train in km/h?

Accepted Answer

Step 1: Convert the first train's speed to m/s: 54 km/h = 54 × (5/18) = 15 m/s. Step 2: When two trains cross each other moving in opposite directions, the relative speed is the sum of their speeds. Total distance to cover = 200 + 160 = 360 m. Step 3: Relative speed = Distance / Time = 360 / 20 = 18 m/s. Step 4: Speed of second train = Relative speed - Speed of first train = 18 - 15 = 3 m/s. Step 5: Convert to km/h: 3 × (18/5) = 10.8 km/h.

Question 27

Train A of length 150 m crosses a stationary platform in 15 seconds. Train B of length 100 m travels at twice the speed of Train A. How long will Train B take to cross the same platform?

Accepted Answer

Step 1: Find speed of Train A. Distance = Length of train + Platform length. Since platform length is not given, we assume the train crosses its own length: 150 m in 15 s, so speed of A = 150/15 = 10 m/s. Step 2: Speed of Train B = 2 × 10 = 20 m/s. Step 3: Train B must cover its own length (100 m) to cross the platform: Time = 100/20 = 5 seconds.

Question 28

Train A and Train B start from the same station at the same time, traveling in the same direction. Train A travels at 72 km/h and Train B at 54 km/h. After 3 hours, Train A stops for 30 minutes. How much distance (in km) will Train B be ahead of Train A when Train A resumes its journey?

Accepted Answer

Step 1: In 3 hours, Train A covers = 72 × 3 = 216 km. Train B covers = 54 × 3 = 162 km. Step 2: When Train A stops for 30 minutes (0.5 hours), Train B continues and covers additional = 54 × 0.5 = 27 km. Step 3: Total distance by Train B when Train A resumes = 162 + 27 = 189 km. Step 4: Distance of Train A when it resumes = 216 km. Step 5: Train B is ahead by = 216 - 189 = 27 km. [Correction: Train B is behind, so Train A is ahead by 216 - 189 = 27 km. The question asks how much Train B is ahead, which means Train B is behind by 27 km, so the answer is -27 or we interpret as Train A is 27 km ahead. Re-read: 'how much distance will Train B be ahead' — if negative, Train B is behind. Let me recalculate: After 3 hours, A is at 216 km, B is at 162 km. During 30 min stop, B goes to 162 + 27 = 189 km. So A is ahead by 27 km, meaning B is 27 km behind, so B is NOT ahead. The question phrasing suggests asking for the gap. Answer should be 27 km (A ahead) or reinterpret as asking the gap = 27 km.]

Question 29

A train travels 240 km in 4 hours. If it increases its speed by 25%, how much distance will it cover in 5 hours at the new speed?

Accepted Answer

Step 1: Find the original speed: Speed = Distance / Time = 240 / 4 = 60 km/h. Step 2: Calculate the new speed after 25% increase: New speed = 60 + (25% of 60) = 60 + 15 = 75 km/h. Step 3: Distance covered at new speed in 5 hours: Distance = Speed × Time = 75 × 5 = 375 km.

Question 30

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

Accepted Answer

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

Question 31

Train P of length 200 m and Train Q of length 150 m are moving in the same direction on parallel tracks. Train P travels at 80 km/h and Train Q at 50 km/h. How many seconds will it take for Train P to completely overtake Train Q?

Accepted Answer

Step 1: Convert speeds to m/s: Train P = 80 × (5/18) = 22.22 m/s ≈ 200/9 m/s; Train Q = 50 × (5/18) = 13.89 m/s ≈ 50/9 m/s. Step 2: Relative speed = 200/9 - 50/9 = 150/9 = 50/3 m/s. Step 3: Total distance to cover = 200 + 150 = 350 m. Step 4: Time = 350 ÷ (50/3) = 350 × 3/50 = 21 seconds.

Question 32

A train travels 240 km in 4 hours. If the train increases its speed by 25%, how much distance will it cover in 5 hours at the new speed?

Accepted Answer

Step 1: Original speed = 240 ÷ 4 = 60 km/h. Step 2: New speed = 60 + (25% of 60) = 60 + 15 = 75 km/h. Step 3: Distance covered in 5 hours at new speed = 75 × 5 = 375 km.

Question 33

A train crosses a bridge of length 500 m in 60 seconds and a tunnel of length 800 m in 80 seconds. What is the length of the train?

Accepted Answer

Step 1: Let the length of the train be L meters. When crossing a bridge/tunnel, the train must cover its own length plus the structure's length. Step 2: For the bridge: (L + 500) ÷ 60 = Speed of train. Step 3: For the tunnel: (L + 800) ÷ 80 = Speed of train. Step 4: Since speed is constant: (L + 500) ÷ 60 = (L + 800) ÷ 80. Step 5: 80(L + 500) = 60(L + 800). Step 6: 80L + 40000 = 60L + 48000. Step 7: 20L = 8000. Step 8: L = 400 m.

RRB NTPC Trains

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