1. A train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the train?

1. 270 m

2. 210 m

3. 340 m

4. 130 m

Answer & Explanation

Answer:- 1

Explanation :-

Let the length of the train be x meters.

Speed of Train = 72 km/h =72*(5/18) m/sec = 20 m/sec

Time = 26 seconds

Speed = Distance /Time

20 = (x+250)/26

(x + 250) = 520

x = 270 meters

Length of the goods train = 270 meter

2. A train overtakes two persons who are walking in the same direction to that of the train at 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. What is the length of the train?

1. 62 m

2. 54 m

3. 50 m

4. 55 m

Answer & Explanation

Answer:- 3

Explanation :-

Lets suppose the length of train = x metre and speed = y m/sec

Speed of First person = 2 km/h = 2*(5/18) = 5/9 m/sec

Speed of Second person = 4 km/h = 4*(5/18) = 10/9 m/sec

Relative speed = Total distance / time

y – (5/9) = x/9 & y – (10/9) = x/10 (Speeds are subtracted because of opposite Direction)

9*y* – 5 = *x* & 10(9*y* – 10) = 9*x*

9y = x + 5 & 9y = (9x /10)+10

On solving, we get: *x* = 50.

Length of the train is 50 m.

3. A train is traveling at 48 kmph . It crosses another train having half of its length , traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. What is the length of the platform?

1. 500 m

2. 360 m

3. 480 m

4. 400 m

Answer & Explanation

Answer:- 4

Explanation :-

Let the length of the First Train be x .metres

Therefore, Length of the Secondt train = x/2 metres

Relative speed = (48 + 42) km/h = 90*(5/18) m/sec = 25 m/sec

[x + (x/2)] /25 = 12 => 3x/2* *= 300 => x = 200

Length of first train = 200 m.

Let the length of platform be y metres.

Speed of the First Train = 48 *(5/18) m/s = 40/3

40/3 = (200 + y) / 45

600 + 3y = 1800

y = 400 m

4. A train having a length of 270 meter is running at the speed of 120 kmph . It crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?

1. 320 m

2. 190 m

3. 210 m

4. 230 m

Answer & Explanation

Answer:- 4

Explanation :-

As trains are running in opposite direction, Therefore

Relative speed = 120 +80 = 200 km/h = 200*(5/18) = 500/9 m/sec

Let the length of other train is x meter

(x + 270)/9 = 500/9

x + 270 = 500

x = 230

5. Two trains, each 100 m long are moving in opposite directions. They cross each other in 8 seconds. If one is moving twice as fast the other, the speed of the faster train is

1. 75 km/hr

2. 60 km/hr

3. 35 km/hr

4. 70 km/hr

Answer & Explanation

Answer:- 2

Explanation :-

Let the speed of the slower train be *x* m/sec.

Then, speed of the faster train = 2*x* m/sec.

Relative speed = (*x* + 2*x*) m/sec = 3*x* m/sec.

(100 + 100)/8 = 3*x*

24x = 200 =>x = 25/3

Speed of the faster train = (25/3)*2 = 50/3 km/h

Speed of the faster train = (50/3)*(18/5) = 60 km/h