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Problems on Trains

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31.

A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:

Answer: B

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32.

A boy sitting in a train counts the electricity poles along the line as he passes them. If they are 40 m apart and the speed of the train is 48 km/h, how many poles does he pass per minute ?

Answer: C

Speed of train = 48 km/h = (48 * 1000)/60 m/minute
= 800 m/minute
Thus we have to find the number of poles situated along a distance of 800 with each pole at a distance of 40 m from each other.

|--------40 m-------|--------40 m ---------|
Consider a distance of 80 m. There are 3 poles situated along this distance as shown.
Thus number of poles = 80/40 + 1 = 2 + 1 = 3
Similarly along a distance of 900 m, number of poles situated
= 800/40 + 1 = 21

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33.

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

Answer: D

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34.

The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is:

Answer: D

Speed = [90 * 5/18] m/sec = 25 m/sec; Time = 1 min. = 60 sec.

Let the length of the train and that of the platform be x meters.

 

Then, 2x/60 = 25 

x = 25 * 60 / 2 = 750 

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35.

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

Answer: B

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36.

Find the ratio of speed of truck to train if truck covers 550m in 1 minute and train covers 33 km in 45 min.

Answer: B

Using the formula, speed=distance/time

Speed of truck = 550/60 m/s

Speed of train= 33000/(45*60) m/s

Ratio of speed of truck to train= (550/60 ) / [33000/(45*60)]


=3:4

 

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37.

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

Answer: B

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38.

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 fast train?

Answer: D

Relative speed = (40 - 20) = 20 km/hr.

= 20 * 5/ 18 = 50/9 m/sec.

Length of faster train = 50/9 * 5 = 250/9 = 27 7/9 m.

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39.

A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?

Answer: D

Speed = 72 * 5/18 = 20 m/sec.

Time = 26 sec.

Let the length of the train be x meters.

Then, (x + 250)/26 = 20

x = 270 m. 

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40.

A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?

Answer: B

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