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📊 Math
Q. A train running at 48 km/h crosses a pole in 15 seconds. What is the length of the train?
  • (A) 180 m
  • (B) 200 m
  • (C) 220 m
  • (D) 240 m
💬 Discuss
✅ Correct Answer: (B) 200 m

Explanation: Speed = 48 km/h = 13.33 m/s → Length = 13.33×15 = 200 m.

📊 Math
Q. A train 120 m long crosses a man walking at 6 km/h in same direction in 12 seconds. What is the speed of the train?
  • (A) 36 km/h
  • (B) 42 km/h
  • (C) 48 km/h
  • (D) 54 km/h
💬 Discuss
✅ Correct Answer: (B) 42 km/h

Explanation: Relative speed = 120/12 = 10 m/s = 36 km/h → Train speed = 36+6 = 42 km/h.

📊 Math
Q. Two trains cross each other in 14 seconds running in opposite directions at 36 km/h and 54 km/h. What is the total length of both trains?
  • (A) 280 m
  • (B) 300 m
  • (C) 350 m
  • (D) 420 m
💬 Discuss
✅ Correct Answer: (C) 350 m

Explanation: Relative speed = (36+54)×5/18 = 25 m/s → Length = 25×14 = 350 m.

📊 Math
Q. A train takes 18 seconds to cross a platform 90 m long and 6 seconds to cross a pole. What is the speed of the train?
  • (A) 36 km/h
  • (B) 45 km/h
  • (C) 54 km/h
  • (D) 60 km/h
💬 Discuss
✅ Correct Answer: (B) 45 km/h

Explanation: Train length = x; Speed = x/6; (x+90)/18 = x/6 → x=75 m → Speed = 75/6 = 12.5 m/s = 45 km/h.

📊 Math
Q. A train crosses a platform in 30 seconds at 72 km/h. If the train is 240 m long, what is the platform length?
  • (A) 300 m
  • (B) 330 m
  • (C) 360 m
  • (D) 390 m
💬 Discuss
✅ Correct Answer: (C) 360 m

Explanation: Speed = 20 m/s → Distance = 20×30 = 600 m → Platform = 600−240 = 360 m.

📊 Math
Q. Two trains of lengths 150 m and 200 m cross each other in 14 seconds while 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 = 350 m → Speed = 350/14 = 25 m/s = 90 km/h.

📊 Math
Q. A train running at 90 km/h crosses a pole in 8 seconds. What is the length of the train?
  • (A) 160 m
  • (B) 180 m
  • (C) 200 m
  • (D) 220 m
💬 Discuss
✅ Correct Answer: (C) 200 m

Explanation: Speed = 25 m/s → Length = 25×8 = 200 m.

📊 Math
Q. Two trains start from the same point in the same direction at speeds 40 km/h and 60 km/h. After how much time will the faster train be 100 km ahead?
  • (A) 4 hrs
  • (B) 5 hrs
  • (C) 6 hrs
  • (D) 8 hrs
💬 Discuss
✅ Correct Answer: (B) 5 hrs

Explanation: Relative speed = 20 km/h → Time = 100/20 = 5 hrs.

📊 Math
Q. A train 180 m long crosses a bridge in 24 seconds at 54 km/h. What is the length of the bridge?
  • (A) 150 m
  • (B) 180 m
  • (C) 200 m
  • (D) 220 m
💬 Discuss
✅ Correct Answer: (B) 180 m

Explanation: Speed = 15 m/s → Distance = 15×24 = 360 m → Bridge = 360−180 = 180 m.

📊 Math
Q. A train crosses a man running at 9 km/h in opposite direction in 12 seconds. If the train speed is 45 km/h, what is its length?
  • (A) 140 m
  • (B) 160 m
  • (C) 180 m
  • (D) 200 m
💬 Discuss
✅ Correct Answer: (C) 180 m

Explanation: Relative speed = (45+9)×5/18 = 15 m/s → Length = 15×12 = 180 m.