# Trains - Online Quiz

#### Quantitative Aptitude Course in Tamil

87 Lectures 22.5 hours

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 with a speed of 60 kmph crosses a pole in 30 seconds. The length of the train is

A - 500 m

B - 750 m

C - 900 m

D - 1000 m

### Explanation

```speed =  (60*5/18)m/sec  = 50/3 m/sec.
Length of the train = (50/3* 30)m = 500 m ```

Q 2 - A train 100 m long crosses a bridge of length 100 m in 6 sec. The train will cross another bridge of length 200 m in:

A - 8 sec

B - 9 sec

C - 10 sec

D - 11 sec

### Explanation

```Time taken to cover (100+100)m= 6 sec
Speed of the train = 200/6  m/sec.
Time taken to cover (100+200)m = (300*6/200) sec =9 sec.```

Q 3 - A train 100 m long moving at a speed of 50km/hr crosses a train 120m long coming from opposite side on parallel tracks in 6 sec. The speed of the second train is

A - 132 kmph

B - 82 kmph

C - 60 kmph

D - 50 kmph

### Explanation

```let the speed of the second  train be x kmph.
Their relative speed = (50+x) kmph ={ (50+x)* 5/18) m/sec.
Sum of their lengths = (100+120)m =220 m
220/ [(50+x)*5/18] = 6   ⇒30 (50+x)= 3960
⇒ 30x  =(3960-1500) = 2460
X = 82
Speed of the second train = 82 kmph.```

Q 4 - A 150 m long train cross a walking at the speed of 6kmph in the opposite direction in 6 sec. The speed of the train is

A - 66 kmph

B - 84 kmph

C - 96 kmph

D - 106 kmph

### Explanation

```Let the speed of the train be x kmph.
Their relative speed = (x+6) kmph = [  (x+6) *5/18]m/sec.
∴    150/ (x+6)*5/18 = 6   ⇒ 30 (x+6) =(18*150)
⇒ 30x+180= 2700 ⇒ 30x = 2520    ⇒ x = 84
∴  speed of the train is 84 kmph.```

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 train travel in opposite direction at 36 kmph and 45kmph. A man sitting in a slower train passes the faster train in 8 sec. The length of the faster train is

A - 80 m

B - 100 m

C - 120 m

D - 180 m

### Explanation

```Relative speed =(36+45)km/hr =(81*5/18)m/sec. =45/2m/sec.
Length of the train = distance covered in 8 sec. at 45/2m sec. = (45/2*8)= 180 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

### Explanation

```let the speed of train y be x km/hr.
Speed of x relative to y =(120-x) km/hr
=[ (120-x)*5/18]m/sec. = (600-5x)/18  m/sec.
300/ (600-5x)/18 =120 ⇒120 (600-5x) =5400
⇒ 600-5x =45 ⇒ 5x =555 ⇒ x =111
Speed of train y = 111km/hr ```

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