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
✅ Correct Answer: (C)
350 m
Explanation: Relative speed = (36+54)×5/18 = 25 m/s → Length = 25×14 = 350 m.
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
✅ 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.
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
✅ Correct Answer: (C)
360 m
Explanation: Speed = 20 m/s → Distance = 20×30 = 600 m → Platform = 600−240 = 360 m.
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
✅ Correct Answer: (C)
90 km/h
Explanation: Total length = 350 m → Speed = 350/14 = 25 m/s = 90 km/h.
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
✅ Correct Answer: (C)
200 m
Explanation: Speed = 25 m/s → Length = 25×8 = 200 m.
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
✅ Correct Answer: (B)
5 hrs
Explanation: Relative speed = 20 km/h → Time = 100/20 = 5 hrs.
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
✅ Correct Answer: (B)
180 m
Explanation: Speed = 15 m/s → Distance = 15×24 = 360 m → Bridge = 360−180 = 180 m.
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
✅ Correct Answer: (C)
180 m
Explanation: Relative speed = (45+9)×5/18 = 15 m/s → Length = 15×12 = 180 m.
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
✅ 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.
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
✅ Correct Answer: (C)
400 m
Explanation: Relative speed = (72−54)×5/18 = 5 m/s → Length = 5×20 = 100 m (combined concept-based).
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