Given length of sides of equilateral triangle (s), and velocities(v) of each animal tagged on the vertices of triangle, find out the time after which they meet, if they start moving towards their right opposite, forming a trajectory.
Examples:
Input: s = 2, v = 5
Output: 0.266667Input: s = 11, v = 556
Output: 0.013189
Approach :
To find the total amount of time taken for the animals to meet, simply take A divided by the initial rate at which two vertices approach each other. Pick any two vertices, and it can be seen that the first point moves in the direction of the second at speed v, while the second moves in the direction of the first (just take the component along one of the triangle edges).
Reference : StackExchange
Below is the implementation of the above approach:
C++
// CPP code to find time // taken by animals to meet#include <bits/stdc++.h>using namespace std;// function to calculate time to meetvoid timeToMeet(double s, double v){ double V = 3 * v / 2; double time = s / V; cout << time;}// Driver Codeint main(void) { double s = 25, v = 56; timeToMeet(s, v); return 0;} |
Java
// Java code to find time taken by animals// to meetimport java.io.*;public class GFG { // function to calculate time to meet static void timeToMeet(double s, double v){ double V = 3 * v / 2; double time = s / V; System.out.println((float)time); } // Driver Code static public void main (String[] args) { double s = 25, v = 56; timeToMeet(s, v); }}//This code is contributed by vt_m. |
Python3
# Python3 code to find time # taken by animals to meet# function to calculate# time to meetdef timeToMeet(s, v): V = 3 * v / 2; time = s / V; print(time);# Driver Codes = 25;v = 56; timeToMeet(s, v); # This code is contributed by mits |
C#
// C# code to find time // taken by animals to meetusing System;public class GFG { // function to calculate time to meet static void timeToMeet(double s, double v){ double V = 3 * v / 2; double time = s / V; Console.WriteLine((float)time); } // Driver Code static public void Main () { double s = 25, v = 56; timeToMeet(s, v); }}// This code is contributed by vt_m. |
PHP
<?php// PHP code to find time // taken by animals to meet// function to calculate// time to meetfunction timeToMeet($s, $v){ $V = 3 * $v / 2; $time = $s / $V; echo $time;} // Driver Code $s = 25; $v = 56; timeToMeet($s, $v); // This code is contributed by anuj_67.?> |
Javascript
<script>// JavaScript code to find time taken by animals// to meet // function to calculate time to meet function timeToMeet(s , v) { var V = 3 * v / 2; var time = s / V; document.write( time.toFixed(6)); } // Driver Code var s = 25, v = 56; timeToMeet(s, v);// This code is contributed by todaysgaurav </script> |
0.297619
Time complexity: O(1)
Auxiliary space: O(1)
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