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# Program to find Length of Bridge using Speed and Length of Train

Given the Length and Speed of the train and the time takes by the train to passes the bridge or tunnel, the task is to find the length of the bridge.
Examples:

Input : length of train = 120 meters, Speed = 30 m/sec, time = 18 sec
Output : length of bridge = 420 meters.
Input : length of train = 130 meters, Speed = 25 m/sec, time = 21 sec
Output : length of bridge = 395 meters.

Approach:
Let the length of the bridge be As it is known that Speed = Distance / Time
Therefore:

Total distance = (length of train + length of bridge)
=> Speed of train = (length of train + x) / Time.
=> x = (Speed of train * time) – Length of train.

Formula:

length of bridge = (speed of train * time taken to cross bridge) – length of train.

Below is the implementation of the above approach:

## C++

 `// C++ Program to implement above code.` `#include ``using` `namespace` `std;` `// function to calculate the length of bridge.``int` `bridge_length(``int` `trainLength, ``int` `Speed, ``int` `Time)``{``    ``return` `((Time * Speed) - trainLength);``}` `// Driver Code``int` `main()``{``    ``// Assuming the input variables``    ``int` `trainLength = 120;``    ``int` `Speed = 30;``    ``int` `Time = 18;` `    ``cout << ``"Length of bridge = "``         ``<< bridge_length(trainLength, Speed, Time)``         ``<< ``" meters"``;` `    ``return` `0;``}`

## Java

 `//Java Program to implement above code.` `public` `class` `GFG {``    ` `    ``//function to calculate the length of bridge.``    ``static` `int` `bridge_length(``int` `trainLength,``                            ``int` `Speed, ``int` `Time)``    ``{``    ``return` `((Time * Speed) - trainLength);``    ``}` `    ``//Driver Code``    ``public` `static` `void` `main(String[] args) {``        ` `        ``// Assuming the input variables``        ``int` `trainLength = ``120``;``        ``int` `Speed = ``30``;``        ``int` `Time = ``18``;` `        ``System.out.print(``"Length of bridge = "``+``            ``bridge_length(trainLength, Speed,Time)``            ``+``" meters"``);``    ``}``}`

## Python 3

 `# Python 3 Program to implement above code.` `# function to calculate the length of bridge.``def` `bridge_length(trainLength, Speed, Time) :` `    ``return` `((Time ``*` `Speed) ``-` `trainLength)``    ` `# Driver Code``if` `__name__ ``=``=` `"__main__"` `:` `    ``# Assuming the input variables``    ``trainLength ``=` `120``    ``Speed ``=` `30``    ``Time ``=` `18` `    ``print``(``"Length of bridge = "``,bridge_length``            ``(trainLength, Speed, Time),``"meters"``)` `# This code is contributed by ANKITRAI1`

## C#

 `// C# Program to implement above code``using` `System;` `class` `GFG``{` `// function to calculate``// the length of bridge``static` `int` `bridge_length(``int` `trainLength,``                         ``int` `Speed, ``int` `Time)``{``    ``return` `((Time * Speed) - trainLength);``}` `// Driver Code``static` `void` `Main()``{``    ``// Assuming the input variables``    ``int` `trainLength = 120;``    ``int` `Speed = 30;``    ``int` `Time = 18;` `        ``Console.Write(``"Length of bridge = "` `+``        ``bridge_length(trainLength, Speed, Time) +``                                      ``" meters"``);``}``}` `// This code is contributed by Raj`

## PHP

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## Javascript

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Output:

`Length of bridge = 420 meters`

Time Complexity: O(1)
Auxiliary Space: O(1), since no extra space has been taken.

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