# 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 - A train 210 m long is travelling with a speed of 63 kmph. How long will it take to pass a signal post?

A - 12 sec

B - 14 sec

C - 15 sec

D - 18 sec

### Explanation

```speed =(63*5/18)m/sec =35/2 m/sec
Required time =(210*2/35) sec. =12 sec.```

Q 2 - A train travelling with a constant speed crosses a 96m long platform in 12 seconds and another 141m long platform in 15 seconds. The length of the train and speed is

A - 64m, 44km/hr

B - 64m, 54km/hr

C - 84m, 54km/hr

D - 84m, 60km/hr

### Explanation

```let the length of the train be x m.
(96+x)/12 =(141+x)/15   ⇒ 15* (96+x) =12*(141+x)
⇒ 3x =(1692-1440)= 252 ⇒x =  84 m
Speed of the train =(96+84)/12 m/sec. = 15m/sec. =(15*18/5)kmph = 54kmph```

Q 3 - A train crosses a pole in 15 sec. while it crosses a 100m long platform in 25 sec. The length of the train is

A - 125 m

B - 135 m

C - 150 m

D - 175 m

### Explanation

```Let the length of the train be x metres. Then,
x/15 =(100+x)/25  ⇒ 25x=1500+15x ⇒ 10x = 1500 ⇒ x = 150
Hence, the length  of the train is 150 m.```

Q 4 - Two trains are running in opposite directions at 36kmph and 45kmph cross each other in 20 sec. if one train is 200m long, the length of the other train is

A - 144 m

B - 200 m

C - 240 m

D - 250 m

### Explanation

```let the length of the other train be x meters.
Sum of their length =(200+x)m
Relative speed =(36+45) kmph =81kmph = (81*5/18)m/sec. = 45/2 m/sec.
(200+x)/ (45/2) = 20  ⇒ 400 +2x = 900 ⇒ 2x = 500  ⇒ x = 250
∴  length of the other train is 250m ```

Q 5 - A train of length 150m takes 10 sec. to pass over another train 100m long coming from the opposite direction. If the speed of the first train be 30 kmph, then the speed of the second train is

A - 54 kmph

B - 60 kmph

C - 72 kmph

D - 36 kmph

### Explanation

```Relative speed =(150+100)/10 m/sec.  =25 m/sec.= (25*18/5)km/hr = 90 km/hr
∴ speed of the  second train = (90-30) kmph  = 60 kmph```

Q 6 - 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 slower train in 5 sec.What is the length of the faster train?

A - 23 m

B - 34 m

C - 27 m

D - 250/9 m

### Explanation

```Relative speed = (40-20)km/hr = 20km/hr =(20*5/18)m/sec. =50/9 m/sec.
Length of faster train = distance travelled by it in 5 sec. at 50/9 m/sec.
=(50/9*5)m = 250/9 m ```

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.