# Time when minute hand and hour hand coincide

• Difficulty Level : Basic
• Last Updated : 09 Mar, 2021

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 ``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

 ``

## Javascript

 ``

Output :

`(180/11) minutes`

My Personal Notes arrow_drop_up