Top 100+ Problems on Trains with Solutions Pdf Free Download - 2
Question: 6
A train of length 150 m takes 40.5 seconds to cross a tunnel of length of 300 m. The speed of the train (in km/hr) is
(A) 13.33
(B) 26.67
(C) 38.32
(D) 40
Ans: D
Total distance covered = (150 + 300) m = 450 m.
Time taken = $$({81} / {2})$$ seconds
∴ Speed of the train = $$(450 × {2} / {81})$$ m/sec
= $$(450 × {2} / {81} × {18} / {5})$$ km/hr
= 40 km/hr.
Question: 7
Two trains are moving in the same directions at 65 km/hr and 45 km/hr. The faster train crosses a man in slower train in 18 seconds. The length of the faster train is
(A) 100 m
(B) 120 m
(C) 145 m
(D) 180 m
Ans: A
Relative speed = (65 – 45) km/hr = 20 km/hr.
= $$(20 × {5} / {18})$$ m/sec
= $$({50} / {9})$$ m/sec
Distance covered in 18 sec = $$({50} / {9} × 18)$$ m = 100m.
∴ Length of the train = 100 m.
Question: 8
A man sees a train passing over a bridge 1 km long. The length of the train is half that of the bridge. If the train clears the bridge in 2 minutes, the speed of the train is
(A) 30 km/hr
(B) 40 km/hr
(C) 45 km/hr
(D) 55 km/hr
Ans: C
Length of bridge = 1000 m
Length of train = 500 m
Total distance covered in clearing the bridge = 1500 m
Time taken = 120 seconds
∴ Speed = $$({1500} / {120})$$ m/sec
= $$({25} / {2} × {18} / {5})$$ km/hr
= 45 km/hr.
Question: 9
A train 132 m long passes a telegraph pole in 6 seconds. Find the speed of the train
(A) 70 km/hr
(B) 71 km/hr
(C) 72 km/hr
(D) 79.2 km/hr
Ans: D
Speed = $$({132} / {6})$$ m/sec
= $$(22 × {18} / {5})$$ km/hr
= 79.2 km/hr.
Question: 10
Two trains are coming from opposite directions with speeds of 75 km/hr and 100 km/hr on two parallel tracks. At some moment the distance between them is 100 km. After T hours, distance between them is again 100 km. T is equal to
(A) 1 hr
(B) $$1{1} / {7}$$
(C) $$1{1} / {2}$$
(D) 2 hrs
Ans: B
Relative speed =(75 + 100) km/hr = 175 km/hr.
Time taken to cover 175 km at relative speed = 1 hr.
∴ T = Time taken to cover 200 km
= $$({1} / {175} × 200)$$hr = $${8} / {7}$$hr = $$1{1} / {7}$$hr.
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