# Time when minute hand and hour hand coincide

Given time in hours, find the time in minute at which the minute hand and hour hand coincide in 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 <bits/stdc++.h>` `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

`<?php` `// PHP code to find the minute` `// at which the minute hand and` `// hour hand coincide` `// function to find the minute` `function` `find_time(` `$h1` `)` `{` ` ` `// finding the angle between` ` ` `// minute hand and the first` ` ` `// hour hand` ` ` `$theta` `= 30 * ` `$h1` `;` ` ` `echo` `(` `"("` `. (` `$theta` `* 2) .` ` ` `"/"` `. ` `"11"` `. ` `")"` `.` ` ` `" minutes"` `);` `}` `// Driver code` `$h1` `= 3;` `find_time(` `$h1` `);` `// This code is contributed by Ajit.` `?>` |

## Javascript

`<script>` `// JavaScript code to find the minute at which` `// the minute hand and hour hand coincide` `// function to find the minute` `function` `find_time(h1)` `{` `// finding the angle between minute` `// hand and the first hour hand` `theta = 30 * h1;` `document.write(` `"("` `+ (theta * 2) + ` `"/"` ` ` `+ ` `"11"` ` ` `+ ` `")"` ` ` `+ ` `" minutes"` `);` `}` `// Driver code` `h1 = 3;` `find_time(h1);` `// This code is contributed by Surbhi Tyagi.` `</script>` |

**Output :**

(180/11) minutes

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