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Problems on Trains

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41.

A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is

Answer: A

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42.

A train overtakes two boys who are running at the rate of 8 km/hr and 16 km/hr in the same direction as the train. The train completely passes them in 36 seconds and 40 seconds respectively. What is the length of the train?

Answer: C

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43.

A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:

Answer: D

Let the length of the train be x meters and its speed be y m/sec.

They, x / y = 15 => y = x/15 

 

x + 100 / 25 = x / 15 

 x = 150 m. 

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44.

Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?

Answer: B

Suppose they meet x hours after 7 a.m. 

Distance covered by A in x hours = 20x km. 

Distance covered by B in (x - 1) hours = 25(x - 1) km. 

Therefore 20x + 25(x - 1) = 110 

45x = 135  

x = 3. 

 

So, they meet at 10 a.m.

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45.

A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?

Answer: C

Speed = 78 * 5/18 = 65/3 m/sec.

Time = 1 min = 60 sec.

Let the length of the train be x meters.

Then, (800 + x)/60 = 65/3

x = 500 m.

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46.

A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?

Answer: D

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47.

A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:

Answer: B

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48.

In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?

Answer: A

Speed = 144 * 5/18 = 40 m/sec

Time taken = 100/40 = 2.5 sec.

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49.

Two trains with lengths 126 m and 119 m respectively are moving towards each other. Their speeds are 12 m/s and 23 m/s, respectively. What will be the time needed by the trains to cross each other?

Answer: D

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50.

Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:

Answer: C

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