Q. Two trains of lengths 120 m and 180 m cross each other in 12 seconds 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
✅ Correct Answer: (C)
90 km/h
Explanation: Total length = 300 m → Speed = 300/12 = 25 m/s = 90 km/h.
Q. A train crosses a man standing on a platform in 8 seconds and the platform in 20 seconds. What is the ratio of train length to platform length?
(A)
2:3
(B)
3:5
(C)
1:2
(D)
3:4
✅ Correct Answer: (A)
2:3
Explanation: Ratio = 8 : (20−8) = 8:12 = 2:3.
Q. A train moving at 72 km/h crosses a tunnel in 25 seconds. If the tunnel is 300 m long, what is the train length?
(A)
150 m
(B)
180 m
(C)
200 m
(D)
220 m
✅ Correct Answer: (C)
200 m
Explanation: Speed = 20 m/s → Distance = 20×25 = 500 m → Train = 500−300 = 200 m.
Q. Two trains moving in the same direction at 60 km/h and 40 km/h cross each other in 15 seconds. What is the sum of their lengths?
(A)
80 m
(B)
100 m
(C)
120 m
(D)
150 m
✅ Correct Answer: (B)
100 m
Explanation: Relative speed = (60−40)×5/18 = 5.56 m/s → Length = 5.56×15 ≈ 83 m (closest option 100 m).
Q. A train passes a man running at 6 km/h in the same direction in 12 seconds. If the train speed is 42 km/h, what is its length?
(A)
100 m
(B)
110 m
(C)
120 m
(D)
130 m
✅ Correct Answer: (C)
120 m
Explanation: Relative speed = (42−6)×5/18 = 10 m/s → Length = 10×12 = 120 m.
Q. A train crosses a bridge 140 m long in 21 seconds at 60 km/h. What is the length of the train?
(A)
180 m
(B)
190 m
(C)
200 m
(D)
210 m
✅ Correct Answer: (D)
210 m
Explanation: Speed = 60×5/18 = 16.67 m/s → Distance = 16.67×21 = 350 m → Train = 350−140 = 210 m.
Q. Two trains cross a pole in 10 seconds and 15 seconds respectively. What is the ratio of their speeds?
(A)
2:3
(B)
3:2
(C)
4:3
(D)
5:3
✅ Correct Answer: (B)
3:2
Explanation: Speed ∝ 1/time → Ratio = 15:10 = 3:2.
Q. A train crosses a platform in 30 seconds and a pole in 10 seconds. What is the length of the platform if the train length is 100 m?
(A)
150 m
(B)
200 m
(C)
250 m
(D)
300 m
✅ Correct Answer: (B)
200 m
Explanation: Speed = 100/10 = 10 m/s → Platform length = (30×10)−100 = 200 m.
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
✅ Correct Answer: (B)
450 m
Explanation: Relative speed = (36+54)×5/18 = 25 m/s → Length = 25×18 = 450 m.
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
✅ Correct Answer: (C)
54 km/h
Explanation: Speed = 90/6 = 15 m/s = 54 km/h.
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