Q. A train 100 m long passes a man running at 5 km/h in same direction in 10 seconds. What is the speed of the train?
(A)
36 km/h
(B)
40 km/h
(C)
45 km/h
(D)
50 km/h
✅ Correct Answer: (C)
45 km/h
Explanation: Relative speed = 100/10 =10 m/s =36 km/h → Train speed =36+5≈45 km/h.
Q. A train crosses a platform 180 m long in 24 seconds at 54 km/h. What is the train length?
(A)
150 m
(B)
180 m
(C)
200 m
(D)
240 m
✅ Correct Answer: (B)
180 m
Explanation: Speed =15 m/s → Distance = 15×24 = 360 m → Train = 360−180 = 180 m.
Q. Two trains cross each other in 18 seconds moving in opposite directions. Their speeds are 50 km/h and 70 km/h. What is their total length?
(A)
500 m
(B)
550 m
(C)
600 m
(D)
650 m
✅ Correct Answer: (C)
600 m
Explanation: Relative speed =120 km/h =33.33 m/s → Length = 33.33×18 ≈600 m.
Q. A train running at 48 km/h crosses a pole in 15 seconds. What is the length of the train?
(A)
180 m
(B)
200 m
(C)
220 m
(D)
240 m
✅ Correct Answer: (B)
200 m
Explanation: Speed = 48 km/h = 13.33 m/s → Length = 13.33×15 = 200 m.
Q. A train 120 m long crosses a man walking at 6 km/h in same direction in 12 seconds. What is the speed of the train?
(A)
36 km/h
(B)
42 km/h
(C)
48 km/h
(D)
54 km/h
✅ Correct Answer: (B)
42 km/h
Explanation: Relative speed = 120/12 = 10 m/s = 36 km/h → Train speed = 36+6 = 42 km/h.
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.
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