100+ Train Problems Questions and Answers Pdf - 1
Question: 1
A train 150 m long takes 20 seconds to cross a platform 450 m long. The speed of the train in (m/sec) is
(A) 20
(B) 22.5
(C) 30
(D) 40
Ans: C
Total distance covered = (150 + 450) m = 600 m
Time taken = 20 seconds
∴ Speed of the train = $$({600} / {20})$$ m/sec = 30 m/sec.
Question: 2
Two trains travel in opposite directions at 36 km/hr and 45 km/hr and a man sitting in slower train passes the faster train in 8 seconds. The length of the faster train is
(A) 80 m
(B) 120 m
(C) 180 m
(D) 190 m
Ans: C
Relative speed = (36 + 45) km/hr = $$(81 × {5} / {18})$$ m/sec = $$({45} / {2})$$ m/sec
∴ Length of the train = $$({45} / {2} × 8)$$ m = 180 m.
Question: 3
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slow train in 5 seconds. What is the length of the fast train?
(A) 23 m
(B) 27 m
(C) $$27{2} /{9}$$ m
(D) $$27{7} /{9}$$ m
Ans: D
Relative speed = (40 – 20) = 20 km/hr = $$(20 × {5} /{18})$$ m/sec
Length of the train = $$(20 × {5} /{18} × 5)$$ m = $$27 {7} / {9}$$m.
Question: 4
Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is
(A) 40 m
(B) 50 m
(C) 60 m
(D) 72 m
Ans: B
Let the length of each train be x metres.
Then, distance covered = 2x metres.
Relative speed = (46 – 36) km/hr.
= $$(10 × {5} / {18})$$m/sec = $$({25} / {9})$$m/sec.
∴ $${2x} / {36}$$ = $${25} / {9}$$ ⇔ 2x = 100 ⇔ x = 50.
Question: 5
A man sitting in a train is counting the pillars of electricity. The distance between two pillars is 60 metres, and the speed of the train is 42 km/hr. In 5 hours, how many pillars will he count?
(A) 3500
(B) 3501
(C) 3600
(D) 3800
Ans: B
Distance covered by the train in 5 hours
= (42 × 5) km = 210 km = 210000 m.
Number of pillars counted by the man
= $$({210000 / 60} + 1)$$ = (3500 + 1) = 3501.
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