# Trains - Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Trains. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz. Q 1 - The speed of a train 150 m long is 50 kmph. How much time will it take to pass a platform 600 m long ?

A - 50 sec

B - 54 sec

C - 60 sec

D - 64 sec

### Explanation

```Speed =(50*5/18) m/sec. =125/9 m/sec
Required time = (600+ 150)/ (125/9) sec.=(750*9/125)sec. =54 sec.```

Q 2 - A 130 m long train crosses a bridge 30 seconds at 45 kmph. The length of the bridge is ?

A - 200 m

B - 225 m

C - 245 m

D - 250 m

### Explanation

```Let the length  of the bridge be x m.
Speed of the train = (130+x)/30 m/sec.
But, speed =(45*5/18)m/sec. =25/2 m/sec.
⇒ (130+x)/30 = 25/2
⇒ 130 + x = 375
∴ x = 245 m```

Q 3 - Two trains 105m and 90m long run at the speeds of 45kmph and 72 kmph respectively in opposite directions on parallel tracks. The time which they take to cross the each other, is

A - 5 sec

B - 6 sec

C - 7 sec

D - 8 sec

### Explanation

```Sum of the lengths of the train =(105+90)m=  195 m
Relative speed = (72+45) kmph = 117 kmph = (117*5/18)m/sec. =585/18 m/sec.
Required time =  (195*18/585 ) sec.= 6 sec.```

Q 4 - A train passes two persons two persons walking in the same direction in which the train is going. These persons are walking at the rate of 3km/hr and 5km/hr and the train passes them completely in 10sec. and 11 sec. respectively. The speed of the train is

A - 24 kmph

B - 25 kmph

C - 27 kmph

D - 28 kmph

### Explanation

```Let the length of the train be x km  and its speed be y km/hr.
Speed of the train relative to first man =(y-3)km/hr
Speed of the train relative to second man = (y-5)km/hr
x/ (y-3)  = 10/(60*60)  and   x/ (y-5) = 11/(60*60)
⇒  y-3 =360x and 11y-55 =3600x
⇒ 10y-30= 3600x and 11y-55 = 3600x
⇒  10y -30 = 3600x  and  11y -55 = 3600x
⇒  10y-30 =11y-55 ⇒  y= 25
∴  speed of the train = 25km/hr.```

Q 5 - A train takes 5 sec. to pass an electric pole. If the length of the train is 120 m, the time taken by it to cross a railway platform 180 m long ,is

A - 25/2 sec

B - 15/2 sec

C - 13/2 sec

D - 10/3 sec

### Explanation

```Speed of the train = (120/5)m/sec. =24m/sec.
Time taken to cross the platform =(120+180)/24 sec. =300/24 sec= 25/2 sec.```

Q 6 - Two trains, each 100m long, moving in opposite directions, cross each other in 8 sec. If one is moving twice fast as the other , then the speed of the faster train is

A - 30 kmph

B - 45 kmph

C - 60 kmph

D - 75 kmph

### Explanation

```Let the speed of the trains be x m/sec. and 2x n/sec.
Relative speed = (x+2x)m/sec. =3x m/sec.
(100+100)/8 = 3x  ⇒ 24x =200 ⇒ x =25/3
∴ speed of faster train = (50/3)m/sec. = (50/3*18/5) km/gr = 60 km/hr```

Q 7 - A train X speeding with 120kmph cross another train Y, running in the same direction, in 2 min. If the length of the trains X and Y be 100 m and 200m respectively, What is the speed of train Y

A - 111 kmph

B - 123 kmph

C - 127 kmph

D - 129 kmph

```let the speed of train y be x km/hr.