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++

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// 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;
}

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JAVA

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// 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

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Python3

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# 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

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C#

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// 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.

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PHP

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<?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.
?>

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Output :

(180/11) minutes


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