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 <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
// 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
# 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#
// 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// 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.?> |
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
Time Complexity: O(1)
Auxiliary Space: O(1)
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