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📊 Math
Q. A train running at 54 km/h crosses a pole in 10 seconds. What is the length of the train?
  • (A) 120 m
  • (B) 135 m
  • (C) 150 m
  • (D) 165 m
💬 Discuss
✅ Correct Answer: (C) 150 m

Explanation: Speed = 54×5/18 = 15 m/s → Length = 15×10 = 150 m.

📊 Math
Q. A train 160 m long crosses a platform in 24 seconds at 48 km/h. What is the length of the platform?
  • (A) 120 m
  • (B) 140 m
  • (C) 160 m
  • (D) 180 m
💬 Discuss
✅ Correct Answer: (C) 160 m

Explanation: Speed = 48×5/18 = 13.33 m/s → Distance = 13.33×24 = 320 m → Platform = 320−160 = 160 m.

📊 Math
Q. Two trains of lengths 120 m and 180 m cross each other in 12 seconds moving in opposite directions. What is their relative speed?
  • (A) 75 km/h
  • (B) 80 km/h
  • (C) 90 km/h
  • (D) 100 km/h
💬 Discuss
✅ Correct Answer: (C) 90 km/h

Explanation: Total length = 300 m → Speed = 300/12 = 25 m/s = 90 km/h.

📊 Math
Q. A train crosses a man standing on a platform in 8 seconds and the platform in 20 seconds. What is the ratio of train length to platform length?
  • (A) 2:3
  • (B) 3:5
  • (C) 1:2
  • (D) 3:4
💬 Discuss
✅ Correct Answer: (A) 2:3

Explanation: Ratio = 8 : (20−8) = 8:12 = 2:3.

📊 Math
Q. A train moving at 72 km/h crosses a tunnel in 25 seconds. If the tunnel is 300 m long, what is the train length?
  • (A) 150 m
  • (B) 180 m
  • (C) 200 m
  • (D) 220 m
💬 Discuss
✅ Correct Answer: (C) 200 m

Explanation: Speed = 20 m/s → Distance = 20×25 = 500 m → Train = 500−300 = 200 m.

📊 Math
Q. Two trains moving in the same direction at 60 km/h and 40 km/h cross each other in 15 seconds. What is the sum of their lengths?
  • (A) 80 m
  • (B) 100 m
  • (C) 120 m
  • (D) 150 m
💬 Discuss
✅ Correct Answer: (B) 100 m

Explanation: Relative speed = (60−40)×5/18 = 5.56 m/s → Length = 5.56×15 ≈ 83 m (closest option 100 m).

📊 Math
Q. A train passes a man running at 6 km/h in the same direction in 12 seconds. If the train speed is 42 km/h, what is its length?
  • (A) 100 m
  • (B) 110 m
  • (C) 120 m
  • (D) 130 m
💬 Discuss
✅ Correct Answer: (C) 120 m

Explanation: Relative speed = (42−6)×5/18 = 10 m/s → Length = 10×12 = 120 m.

📊 Math
Q. A train crosses a bridge 140 m long in 21 seconds at 60 km/h. What is the length of the train?
  • (A) 180 m
  • (B) 190 m
  • (C) 200 m
  • (D) 210 m
💬 Discuss
✅ Correct Answer: (D) 210 m

Explanation: Speed = 60×5/18 = 16.67 m/s → Distance = 16.67×21 = 350 m → Train = 350−140 = 210 m.

📊 Math
Q. Two trains cross a pole in 10 seconds and 15 seconds respectively. What is the ratio of their speeds?
  • (A) 2:3
  • (B) 3:2
  • (C) 4:3
  • (D) 5:3
💬 Discuss
✅ Correct Answer: (B) 3:2

Explanation: Speed ∝ 1/time → Ratio = 15:10 = 3:2.

📊 Math
Q. A train crosses a platform in 30 seconds and a pole in 10 seconds. What is the length of the platform if the train length is 100 m?
  • (A) 150 m
  • (B) 200 m
  • (C) 250 m
  • (D) 300 m
💬 Discuss
✅ Correct Answer: (B) 200 m

Explanation: Speed = 100/10 = 10 m/s → Platform length = (30×10)−100 = 200 m.