Train aptitude and reasoning
Mcq Problems on Train
Best Aptitude and reasoning questions ,
Train Problems , Aptitude exam questions on train ,
1) Two trains of equal lengths take 12 seconds and 15 seconds respectively to cross a pole. If the length of each train be 120 metres, in what time will they cross each other travelling in opposite direction?
A) 13.3
B) 9
C) 10
D) 15
E) None of these
View Answer
Answer: option A
Explanation:
Speed of the first train = (120/12) m/sec = 10 m/sec
Speed of the second train = (120/15) m/sec = 8 m/sec
Relative speed = (10 + 8) m/sec = 18 m/sec
∴ required time = (120+120)/18 sec = 13.3 sec
2) A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
A) 100 m
B) 170 m
C) 150 m
D) 175 m
E) None of these
View Answer
Answer: option C
Explanation:
Let the length of the train be x metres and its speed be y m/sec.
Then, x/y = 15 => y = x/15
∴ (x+100) / 25 = x/15 <=> x = 150 m
3) A train 165 metres long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
A) 7 sec
B) 10 sec
C) 9 sec
D) 8 sec
E) None of these
View Answer
Answer: option C
Explanation:
Speed of train relative to man = (60 + 6) km/hr = 66 km/hr = (66*5/18) m/sec = (55/3) m/sec
∴ time taken to pass the man = (165*3/55) sec = 9 sec
4) A train takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long. The length of the train is:
A) 110 m
B) 70 m
C) 100 m
D) 90 m
E) None of these
View Answer
Answer: option D
Explanation:
Let the length of the train be x metres.
∴ (x+162) / 18 = (x+120) /15 <=> 15(x + 162) = 18(x + 120) <=> x = 90m
Train aptitude and reasoning
5) A train moves with a speed of 108 kmph. Its speed in metres per second is:
A) 18.8
B) 12
C) 38
D) 30
E) None of these
View Answer
Answer: option D
Explanation:
108 kmph = (108*5/18) m/s = 30 m/sec
6) A train 280 m long, running with a speed of 63 km/hr will pass a tree in:
A) 12 sec
B) 18 sec
C) 16 sec
D) 22 sec
E) None of these
View Answer
Answer: option C
Explanation:
Speed = (63*5/18) m/sec = 35/2 m/sec
Time taken = (280*2/35) sec = 16 sec
7) The length of the bridge, which a train 140 m long and travelling at 45 km/hr can cross in 30 seconds, is:
A) 250 m
B) 240 m
C) 235 m
D) 225 m
E) None of these
View Answer
Answer: option C
Speed = (45 * 5/18) m/sec = 25/2 m/sec; Time = 30 sec
Let the length of bridge be x metres.
Then, (140+x) / 30 = 25/2 <=> 2(140 + x) = 750 <=> x = 235 m
8) A 270 metres long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 seconds. What is the length of the other train?
A) 250 m
B) 270 m
C) 260 m
D) 230 m
E) None of these
View Answer
Answer: option D
Explanation:
Relative speed = (120 + 80) km/hr = (200*5/18) m/sec = (500/9) m/sec
Let the length of the other train be x metres.
Then, (x+270) / 9 = 500/9 <=> x + 270 = 500 <=> x = 230
9) Two trains 160 m and 190 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other, is:
A) 9.6
B) 10.6
C) 12.6
D) 11
E) None of these
View Answer
Answer: option C
Explanation:
Relative speed = (60 + 40) km/hr = (100*5/18) m/sec = (250/9) m/sec
Distance covered in crossing each other = (160 + 190) m = 350 m
Required time = (350*9/250) sec = 63/5 sec = 12.6 sec
10) A train runs at the speed of 90 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the train?
A) 400 m
B) 340 m
C) 360 m
D) 350 m
E) None of these
View Answer
Answer: option A
Explanation:
Speed = (90 * 5/18) m/sec = 25 m/sec; Time = 26 sec
Let the length of the train be x metres.
Then, (x+250) / 26 = 25 <=> x + 250 = 650 <=> x = 400
Trains Aptitude Problems for 2024
11) A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A) 240 m
B) 140 m
C) 150 m
D) 280 m
E) None of these
View Answer
Answer: option A
Explanation:
Speed = (54 * 5/18) m/sec = 15 m/sec
Length of the train = (15 * 20) m = 300 m
Let the length of the platform be x metres
Then, (x+300) / 36 = 15 <=> x + 300 = 540 <=> x = 240 m
12) A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A) 150 metres
B) 155 metres
C) 325 metres
D) 120 metres
E) None of these
View Answer
Answer: option A
Explanation:
Speed = (60*5/18) m/sec = 50/3 m/sec
Length of the train = (speed * time) = (50/3*9) m = 150 m