Time when minute hand and hour hand coincide

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++
JAVA
Python3
C#
PHP
Javascript
// 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 minutevoid 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 codeint main() {  int h1 = 3;   find_time(h1);   return 0;}
// Java code to find the minute // at which the minute hand and// hour hand coincideimport 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 code to find the# minute at which the minute# hand and hour hand coincide # Function to find the minutedef 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 codeh1 = 3find_time(h1) # This code is contributed by# Smitha Dinesh Semwal
// C# code to find the minute// at which the minute hand// and hour hand coincideusing 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 code to find the minute// at which the minute hand and// hour hand coincide // function to find the minutefunction 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.?>
<script> // JavaScript code to find the minute at which// the minute hand and hour hand coincide // function to find the minutefunction find_time(h1){// finding the angle between minute// hand and the first hour handtheta = 30 * h1;document.write("(" + (theta * 2) + "/"    + "11"    + ")"    + " minutes");} // Driver codeh1 = 3;find_time(h1); // This code is contributed by Surbhi Tyagi. </script>
(180/11) minutes
 
jit_t
surbhityagi15
date-time-program
Mathematical
Mathematical
Writing code in comment?
Please use ide.geeksforgeeks.org,
generate link and share the link here.