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# Time when minute hand and hour hand coincide

Given time in hours, find the time in minutes at which the minute hand and hour hand coincide in the next one hour.

Examples:

```Input : 3
Output : (180/11) minutes```
```Input :7
Output : (420/11) minutes```

Approach :

1. Take two variables for hour “h1 and h2” and then find the angle “theta” [theta = (30 * h1)] and then divide it by “11” to find the time in minute(m). We are dividing with 11, because the hands of a clock coincide 11s time in 12 hours and 22 times in 24 hours :

Formula : This can be calculated using the formula for time h1 to h2 means [11m / 2 – 30 (h1)]
this implies [ m = ((30 * h1) * 2) / 11 ] ]
[ m = (theta * 2) / 11 ]

```where [theta = (30 * h1) ]
where A and B are hours i.e if given hour is (2, 3) then A = 2 and B = 3 .```

## C++

 `// CPP code to find the minute at which``// the minute hand and hour hand coincide``#include ``using` `namespace` `std;` `// function to find the minute``void` `find_time(``int` `h1)``{``  ``// finding the angle between minute``  ``// hand and the first hour hand``  ``int` `theta = 30 * h1;``  ``cout << ``"("` `<< (theta * 2) << ``"/"``       ``<< ``"11"``       ``<< ``")"``       ``<< ``" minutes"``;``}` `// Driver code``int` `main() {``  ``int` `h1 = 3; ``  ``find_time(h1); ``  ``return` `0;``}`

## JAVA

 `// Java code to find the minute ``// at which the minute hand and``// hour hand coincide``import` `java.io.*;` `class` `GFG``{``    ` `    ``// function to find the minute``    ``static` `void` `find_time(``int` `h1)``    ``{``    ` `    ``// finding the angle between``    ``// minute hand and the first``    ``// hour hand``    ``int` `theta = ``30` `* h1;``    ``System.out.println(``"("` `+ theta *``                           ``2` `+ ``"/"` `+``                   ``" 11 ) minutes"``);``    ``}``    ` `    ``//Driver Code``    ``public` `static` `void` `main (String[] args)``    ``{``        ``int` `h1 = ``3``;``        ``find_time(h1);    ``    ``}``}` `// This code is contributed by``// upendra singh bartwal`

## Python3

 `# Python3 code to find the``# minute at which the minute``# hand and hour hand coincide` `# Function to find the minute``def` `find_time(h1):` `    ``# Finding the angle between``    ``# minute hand and the first``    ``# hour hand``    ``theta ``=` `30` `*` `h1``    ``print``(``"("``, end ``=` `"")``    ``print``((theta ``*` `2``),``"/ 11) minutes"``)` `# Driver code``h1 ``=` `3``find_time(h1)` `# This code is contributed by``# Smitha Dinesh Semwal`

## C#

 `// C# code to find the minute``// at which the minute hand``// and hour hand coincide``using` `System;` `class` `GFG``{``    ` `    ``// function to find the minute``    ``static` `void` `find_time(``int` `h1)``    ``{``    ` `        ``// finding the angle between minute``        ``// hand and the first hour hand``        ``int` `theta = 30 * h1;``        ``Console.WriteLine(``"("` `+ theta * 2 +``                     ``"/"` `+ ``" 11 )minutes"``);``    ``}``    ` `    ``//Driver Code``    ``public` `static` `void` `Main()``    ``{``        ``int` `h1 = 3;``        ` `        ``find_time(h1);``    ``}``}` `// This code is contributed by vt_m.`

## PHP

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## Javascript

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Output :

`(180/11) minutes`

Time Complexity: O(1)

Auxiliary Space: O(1)

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