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# Problems on Trains

1.

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

Speed = [300 / 18] m/sec = 50/3 m/sec.

Let the length of the platform be x meters.

Then, x + 300 / 39 = 50/3

3(x + 300) = 1950

x = 350m.

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2.

A train having length 150 m passes a platform of 550 m length. The time taken for it is 56 seconds. In how much time will this train take to pass the platform of 250 m length?

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3.

Two trains A and B start from Jammu and Chennai towards Chennai and Jammu, respectively. From the moment they pass each other, they take 24 hrs 30 minutes and 18 hrs to reach Chennai and Jammu, respectively. The train from Jammu is running at 120 km/hr. What is the speed of the train starting from Chennai?

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4.

Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?

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

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

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

(100 + 100)/8 = 3x => x = 25/3.

So, speed of the faster train = 50/3 = 50/3 * 18/5 = 60 km/hr.

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5.

A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?

Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.

Length of the train = 20 * 6 = 120 m

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6.

The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is:

Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2 ==> 2(130 + X) = 750 ==> X = 245 m.

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7.

Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:

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8.

How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

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9.

A bus is going to Goa from Pune. With 4 stops of 15 minute each, the average speed of the bus comes out to be 45 m/hr. But if the driver takes the bus without any stops, the average peed comes out to be 50 km/hr.  How far is Goa from Pune?

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10.

Stations M and N are 276 km part. At the exact same time, a train starts from M and other from N towards N and M respectively. These trains meet after 12 hours. The train travelling from M to N is slower by 14 km/hr in comparison to the other train. What is speed of slower train?