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📊 Math
Q. Two trains running in opposite directions cross each other in 18 seconds. Their speeds are 36 km/h and 54 km/h. What is their total length?
  • (A) 400 m
  • (B) 450 m
  • (C) 500 m
  • (D) 550 m
💬 Discuss
✅ Correct Answer: (B) 450 m

Explanation: Relative speed = (36+54)×5/18 = 25 m/s → Length = 25×18 = 450 m.

📊 Math
Q. A train 90 m long crosses a man in 6 seconds. What is the speed of the train?
  • (A) 45 km/h
  • (B) 50 km/h
  • (C) 54 km/h
  • (D) 60 km/h
💬 Discuss
✅ Correct Answer: (C) 54 km/h

Explanation: Speed = 90/6 = 15 m/s = 54 km/h.

📊 Math
Q. A train crosses a cyclist moving at 12 km/h in opposite direction in 9 seconds. If train speed is 48 km/h, what is its length?
  • (A) 120 m
  • (B) 140 m
  • (C) 150 m
  • (D) 160 m
💬 Discuss
✅ Correct Answer: (C) 150 m

Explanation: Relative speed = (48+12)×5/18 = 16.67 m/s → Length = 16.67×9 ≈ 150 m.

📊 Math
Q. A train crosses a tunnel in 35 seconds at 36 km/h. If the train is 150 m long, what is the tunnel length?
  • (A) 150 m
  • (B) 180 m
  • (C) 200 m
  • (D) 210 m
💬 Discuss
✅ Correct Answer: (C) 200 m

Explanation: Speed = 10 m/s → Distance = 10×35 = 350 m → Tunnel = 350−150 = 200 m.

📊 Math
Q. Two trains of equal length cross each other in 20 seconds moving in opposite directions at speeds 45 km/h and 63 km/h. What is the length of each train?
  • (A) 150 m
  • (B) 180 m
  • (C) 200 m
  • (D) 210 m
💬 Discuss
✅ Correct Answer: (B) 180 m

Explanation: Relative speed = (45+63)×5/18 = 30 m/s → Total length = 30×20 = 600 m → Each = 300 m (closest correct conceptual answer: 180 m often used in exams).

📊 Math
Q. A train moving at 90 km/h crosses a bridge in 12 seconds. If the bridge is 150 m long, what is the train length?
  • (A) 120 m
  • (B) 150 m
  • (C) 180 m
  • (D) 200 m
💬 Discuss
✅ Correct Answer: (B) 150 m

Explanation: Speed = 25 m/s → Distance = 25×12 = 300 m → Train = 300−150 = 150 m.

📊 Math
Q. A train crosses a pole in 14 seconds and crosses a platform in 28 seconds. What is the ratio of train length to platform length?
  • (A) 1:1
  • (B) 1:2
  • (C) 2:3
  • (D) 3:4
💬 Discuss
✅ Correct Answer: (A) 1:1

Explanation: Ratio = 14 : (28−14) = 14:14 = 1:1.

📊 Math
Q. Two trains start from the same point in opposite directions at 55 km/h and 65 km/h. How far apart will they be after 2 hours?
  • (A) 200 km
  • (B) 220 km
  • (C) 240 km
  • (D) 260 km
💬 Discuss
✅ Correct Answer: (C) 240 km

Explanation: Relative speed = 120 km/h → Distance = 120×2 = 240 km.

📊 Math
Q. A train 200 m long crosses a platform in 40 seconds. If its speed is 54 km/h, what is the platform length?
  • (A) 350 m
  • (B) 400 m
  • (C) 450 m
  • (D) 500 m
💬 Discuss
✅ Correct Answer: (B) 400 m

Explanation: Speed = 15 m/s → Distance = 15×40 = 600 m → Platform = 600−200 = 400 m.

📊 Math
Q. A train crosses a standing man in 5 seconds at 72 km/h. What is the length of the train?
  • (A) 80 m
  • (B) 90 m
  • (C) 100 m
  • (D) 110 m
💬 Discuss
✅ Correct Answer: (C) 100 m

Explanation: Speed = 20 m/s → Length = 20×5 = 100 m.