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📊 Math
Q. A train passes a signal post in 10 seconds and a platform in 25 seconds. If the platform is 150 m long, 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/10; (x+150)/25 = x/10 → x=75 → Speed = 75/10 =7.5 m/s =45 km/h.

📊 Math
Q. Two trains cross each other in 20 seconds moving in same direction at speeds 72 km/h and 54 km/h. What is their total length?
  • (A) 200 m
  • (B) 300 m
  • (C) 400 m
  • (D) 500 m
💬 Discuss
✅ Correct Answer: (C) 400 m

Explanation: Relative speed = (72−54)×5/18 = 5 m/s → Length = 5×20 = 100 m (combined concept-based).

📊 Math
Q. A train crosses a cyclist moving at 12 km/h in same direction in 15 seconds. If the train speed is 48 km/h, what is the train length?
  • (A) 120 m
  • (B) 150 m
  • (C) 180 m
  • (D) 200 m
💬 Discuss
✅ Correct Answer: (B) 150 m

Explanation: Relative speed = (48−12)×5/18 = 10 m/s → Length = 10×15 = 150 m.

📊 Math
Q. A train takes 16 seconds to cross a pole and 28 seconds to cross a platform. What is the ratio of train length to platform length?
  • (A) 4:3
  • (B) 3:4
  • (C) 5:3
  • (D) 7:5
💬 Discuss
✅ Correct Answer: (A) 4:3

Explanation: Length ratio = 16 : (28−16) = 16:12 = 4:3.

📊 Math
Q. A train running at 36 km/h crosses a tunnel in 40 seconds. If the tunnel is 200 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 = 10 m/s → Distance = 400 m → Train = 400−200 = 200 m.

📊 Math
Q. Two trains of equal length cross each other in 16 seconds moving in opposite directions at speeds 54 km/h and 36 km/h. What is the length of each train?
  • (A) 120 m
  • (B) 150 m
  • (C) 160 m
  • (D) 180 m
💬 Discuss
✅ Correct Answer: (C) 160 m

Explanation: Relative speed = 25 m/s → Total length = 25×16 = 400 m → Each = 200 m.

📊 Math
Q. A train 100 m long crosses a platform in 20 seconds at 36 km/h. What is the platform length?
  • (A) 80 m
  • (B) 100 m
  • (C) 120 m
  • (D) 140 m
💬 Discuss
✅ Correct Answer: (B) 100 m

Explanation: Speed = 10 m/s → Distance = 200 m → Platform = 200−100 = 100 m.

📊 Math
Q. A train crosses a standing man in 7 seconds and crosses a platform in 21 seconds. What is the ratio of train length to platform length?
  • (A) 1:2
  • (B) 1:3
  • (C) 1:4
  • (D) 2:3
💬 Discuss
✅ Correct Answer: (A) 1:2

Explanation: Length ratio = 7 : (21−7) = 7:14 = 1:2.

📊 Math
Q. A train moving at 54 km/h crosses a bridge in 20 seconds. If the bridge is 150 m long, what is the train length?
  • (A) 100 m
  • (B) 120 m
  • (C) 150 m
  • (D) 180 m
💬 Discuss
✅ Correct Answer: (C) 150 m

Explanation: Speed = 15 m/s → Distance = 300 m → Train = 300−150 = 150 m.

📊 Math
Q. Two trains moving in opposite directions cross a man standing between them in 10 seconds. Their speeds are 36 km/h and 54 km/h. What is the total length of both trains?
  • (A) 200 m
  • (B) 250 m
  • (C) 300 m
  • (D) 350 m
💬 Discuss
✅ Correct Answer: (B) 250 m

Explanation: Relative speed = 25 m/s → Length = 25×10 = 250 m.