Top 100+ Problems on Trains with Solutions Pdf Free Download - 1
Question: 1
A train 280 m long is moving at 60 km/hr. Time taken by the train to cross a tunnel 220 m long is
(A) 15 sec
(B) 20 sec
(C) 25 sec
(D) 30 sec
Ans: D
Speed of the train = $$(60 × {5} / {18})$$ m/sec
= $$({50} / {3})$$ m/sec
Distance covered = (280 + 220) m = 500 m.
∴ Required time = $$(500 × {3} / {50})$$ sec = 30 seconds.
Question: 2
A train 100 meters long passes a platform 100 meters long in seconds. The speed of the train is
(A) 36 km/hr
(B) 52 km/hr
(C) 72 km/hr
(D) 92 km/hr
Ans: C
Total distance covered = (100 + 100)m = 200 m
Time taken = 10 second
∴ Speed of the train = $$({200} / {10})$$ m/sec
= $$({200} / {10} × {18} / {5})$$ km/hr = 72 km/hr.
Question: 3
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is
(A) 1 : 3
(B) 2 : 3
(C) 4 : 3
(D) 6 : 7
Ans: C
Let us name the trains as A and B.
Then,
(A’s speed) : (B’s speed) = √b : √a = √6 : √9 = 4 : 3.
Question: 4
A train travelling at a speed of 90 km/hr, crosses a pole in 10 seconds. The length of the train is
(A) 100 m
(B) 150 m
(C) 250 m
(D) 900 m
Ans: C
Speed of the train = $$(90 × {5} / {18})$$ m/sec
= 25 m/sec
Length of the train = (speed x time)
= (25 x 10) m = 250 m.
Question: 5
A 260 meter long train crosses a 120 meter long wall in 19 seconds. What is the speed of the train?
(A) 27 km/hr
(B) 49 km/hr
(C) 72 km/hr
(D) 92 km/hr
Ans: C
Total distance covered = (260 + 120) meter = 380 meter
Time taken = 19 seconds
∴ Speed of the train = $$({380} /{19})$$ m/sec
= 20 m/sec = $$(20 × {18} / {5})$$ km/hr
= 72 km/hr
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