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
✅ Correct Answer: (B)
375 m
Explanation: Relative speed = (54+36)×5/18 = 25 m/s → Length = 25×15 = 375 m.
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
✅ Correct Answer: (C)
100 m
Explanation: Relative speed = (42−6)×5/18 = 10 m/s → Length = 10×10 = 100 m.
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
✅ Correct Answer: (A)
70 m
Explanation: Let length = x; Speed = x/10; (x+175)/25 = x/10 → x = 70 m.
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
✅ Correct Answer: (C)
360 km
Explanation: Relative speed = 120 km/h → Distance = 120×3 = 360 km.
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
✅ Correct Answer: (D)
275 m
Explanation: Speed = 25 m/s → Distance = 25×15 = 375 m → Train = 375−100 = 275 m.
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
✅ Correct Answer: (B)
5:4
Explanation: Speed ∝ 1/time → Ratio = 10:8 = 5:4.
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
✅ Correct Answer: (C)
150 m
Explanation: Speed = 12.5 m/s → Length = 12.5×12 = 150 m.
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
✅ Correct Answer: (B)
300 m
Explanation: Speed = 16.67 m/s → Distance = 500 m → Train = 500−200 = 300 m.
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
✅ Correct Answer: (B)
100 m
Explanation: Relative speed = 20 km/h = 5.56 m/s; Distance = 5.56×20 ≈111 m (approx concept-based).
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
✅ Correct Answer: (C)
160 m
Explanation: Relative speed = (54+18)×5/18 = 20 m/s → Length = 20×8 = 160 m.
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