📊 Math
Q. Two trains cross each other in 15 seconds moving in opposite directions at 54 km/h and 36 km/h. What is their total length?
  • (A) 300 m
  • (B) 375 m
  • (C) 450 m
  • (D) 500 m
💬 Discuss
✅ Correct Answer: (B) 375 m

Explanation: Relative speed = (54+36)×5/18 = 25 m/s → Length = 25×15 = 375 m.

📊 Math
Q. A train crosses a man walking at 6 km/h in same direction in 10 seconds. If the train speed is 42 km/h, what is the length of the train?
  • (A) 80 m
  • (B) 90 m
  • (C) 100 m
  • (D) 120 m
💬 Discuss
✅ Correct Answer: (C) 100 m

Explanation: Relative speed = (42−6)×5/18 = 10 m/s → Length = 10×10 = 100 m.

📊 Math
Q. A train takes 25 seconds to cross a bridge 175 m long and 10 seconds to cross a pole. What is the length of the train?
  • (A) 70 m
  • (B) 80 m
  • (C) 90 m
  • (D) 100 m
💬 Discuss
✅ Correct Answer: (A) 70 m

Explanation: Let length = x; Speed = x/10; (x+175)/25 = x/10 → x = 70 m.

📊 Math
Q. Two trains start from same point in opposite directions at speeds 50 km/h and 70 km/h. How far apart will they be after 3 hours?
  • (A) 300 km
  • (B) 330 km
  • (C) 360 km
  • (D) 390 km
💬 Discuss
✅ Correct Answer: (C) 360 km

Explanation: Relative speed = 120 km/h → Distance = 120×3 = 360 km.

📊 Math
Q. A train moving at 90 km/h crosses a platform in 15 seconds. If platform length is 100 m, what is the train length?
  • (A) 200 m
  • (B) 225 m
  • (C) 250 m
  • (D) 275 m
💬 Discuss
✅ Correct Answer: (D) 275 m

Explanation: Speed = 25 m/s → Distance = 25×15 = 375 m → Train = 375−100 = 275 m.

📊 Math
Q. Two trains of equal length cross a pole in 8 seconds and 10 seconds respectively. What is the ratio of their speeds?
  • (A) 4:5
  • (B) 5:4
  • (C) 3:4
  • (D) 4:3
💬 Discuss
✅ Correct Answer: (B) 5:4

Explanation: Speed ∝ 1/time → Ratio = 10:8 = 5:4.

📊 Math
Q. A train running at 45 km/h crosses a man standing on a platform in 12 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 = 12.5 m/s → Length = 12.5×12 = 150 m.

📊 Math
Q. A train crosses a tunnel in 30 seconds at 60 km/h. If the tunnel is 200 m long, what is the train length?
  • (A) 250 m
  • (B) 300 m
  • (C) 350 m
  • (D) 400 m
💬 Discuss
✅ Correct Answer: (B) 300 m

Explanation: Speed = 16.67 m/s → Distance = 500 m → Train = 500−200 = 300 m.

📊 Math
Q. Two trains running in same direction cross each other in 20 seconds. Their speeds are 60 km/h and 40 km/h. What is the difference in their lengths if total length is 300 m?
  • (A) 50 m
  • (B) 100 m
  • (C) 150 m
  • (D) 200 m
💬 Discuss
✅ Correct Answer: (B) 100 m

Explanation: Relative speed = 20 km/h = 5.56 m/s; Distance = 5.56×20 ≈111 m (approx concept-based).

📊 Math
Q. A train crosses a car moving at 18 km/h in opposite direction in 8 seconds. If train speed is 54 km/h, what is its length?
  • (A) 120 m
  • (B) 140 m
  • (C) 160 m
  • (D) 180 m
💬 Discuss
✅ Correct Answer: (C) 160 m

Explanation: Relative speed = (54+18)×5/18 = 20 m/s → Length = 20×8 = 160 m.