# Shortcuts to solve Problems on Trains

**Problems on Trains** are quite common as questions from this topic come every year in various competitive exams like **Banking, SSC, CSAT**, etc.

The basic concepts of **Time, Speed and Distance** are used in solving Problems on Trains. So let us first go through some basic formulas of Time, Speed and Distance:

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**Learn Formulas and Shortcuts for Time, Speed and Distance**

Read the units of Time, Speed and Distance carefully. If the distance is given in km/hr and the speed is in m/sec then always convert the units.

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**RULES RELATING TO PROBLEM ON TRAINS**

Below are some set of rules to solve questions relating to Trains, irrespective of the types of train & shape of track:

**• Length of the Train**

**• Length of the Train**

The lengths of the two trains are always added.

**• Distance covered by the Train when crossing a Bridge or Platform**

**• Distance covered by the Train when crossing a Bridge or Platform**

The distance travelled by the train to clear a platform or a bridge is equal to the sum of the lengths of the train and the platform or the bridge.

**• Opposite Direction **

**• Opposite Direction**

Running in opposite direction, time taken by two trains of length km and km and speeds km/hr and km/hr respectively to cross each other is given by,

**• Same Direction**

**• Same Direction**

Running in same direction, time taken by two trains of length km and km and speeds km/hr and km/hr respectively to cross each other is given by,

**• Crossing Time and Speed**

**• Crossing Time and Speed**

**Crossing Speed**: If two trains X and Y starting from A and B and run towards each other and take a and b hours to reach B and A respectively after crossing each other then,

**SOLVED EXAMPLE**

Let us understand the Problems on Trains with an example:

**Example: **Two train travel in same direction, one at 30 km/hr and the other at 102 km/hr. A man sitting in the slower train passes the faster train in 6 secs. What is the length of the faster train?

**Solution:** Since the trains are running in same direction,

The length of the faster train

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