Two guns were fired from same place at an interval of ‘X’ minutes. A person who is approaching the shooting place by train hears the shooting sound at an interval of ‘Y’ minutes, The task is to find the ‘S’ i.e speed of the train.
Note: Speed of the sound in air is 330m/s in a fixed value.
Examples:
Input: X = 14 min, Y = 13.5 min
Output: S = 44 km/hrInput: X = 8 min, Y = 7.2 min
Output: S = 132 km/hr
Approach: Take the first example,
- Distance covered by the train in Y minutes
= Distance covered by the sound in (X – Y) minutes
= 330 * (X – Y) * 60 minutes (Distance = speed of sound * time) - Speed of the train
= (330 * (X – Y) * 60 ) / Y (Speed = distance / time)
= (330 * 60 * (X – Y)) / 1000 * (60 / y)
= 1188 [ (X – Y) / Y] km/hr - Now, According to 1st example
Time difference i.e (X – Y) = 14.00 – 13.30 = 30sec
Speed of train = 1188 * [ (14 – 13.5) / 13.5 ] = 44km/hr - This can be calculated by using the below formula:
Below is the implementation of the above approach.
C++
// C++ implementation of the approach#include <bits/stdc++.h>using namespace std;// Function to find the// Speed of trainfloat speedOfTrain(float X, float Y){ float Speed = 0; Speed = 1188 * ((X - Y) / Y); return Speed;}// Driver codeint main(){ float X = 8, Y = 7.2; // calling Function cout << speedOfTrain(X, Y) << " km/hr"; return 0;} |
Java
// Java implementation of the approachclass GFG{ // Function to find the // Speed of train static int speedOfTrain(float X, float Y) { float Speed; Speed = 1188 * ((X - Y) / Y); return (int)Speed; } // Driver code public static void main(String[] args) { float X = 8f, Y = 7.2f; // calling Function int result = (speedOfTrain(X, Y)); System.out.println(result + " km/hr"); }}// This code is contributed by PrinciRaj1992 |
Python3
# Python3 implementation of the approachfrom math import ceil# Function to find the# Speed of traindef speedOfTrain(X, Y): Speed = 0 Speed = 1188 * ((X - Y) / Y) return Speed# Driver codeif __name__ == '__main__': X = 8 Y = 7.2 # calling Function print(ceil(speedOfTrain(X, Y)), end = " km/hr")# This code is contributed by# Surendra_Gangwar |
C#
// C# implementation of the approachusing System;class GFG{ // Function to find the // Speed of train static int speedOfTrain(float X, float Y) { float Speed; Speed = 1188 * ((X - Y) / Y); return (int)Speed; } // Driver code public static void Main() { float X = 8f, Y = 7.2f; // calling Function int result = (speedOfTrain(X, Y)); Console.Write(result + " km/hr"); }}// This code is contributed by anuj_67.. |
Javascript
<script>// Javascript implementation of the approach// Function to find the// Speed of trainfunction speedOfTrain(X, Y) { var Speed; Speed = 1188 * ((X - Y) / Y); return Speed;} // Driver Codevar X = 8, Y = 7.2;// Calling Functionvar result = (speedOfTrain(X, Y));document.write(Math.round(result) + " km/hr");// This code is contributed by Ankita saini </script> |
Output:
132 km/hr
Time Complexity: O(1)
Auxiliary Space: O(1)
Feeling lost in the world of random DSA topics, wasting time without progress? It’s time for a change! Join our DSA course, where we’ll guide you on an exciting journey to master DSA efficiently and on schedule.
Ready to dive in? Explore our Free Demo Content and join our DSA course, trusted by over 100,000 neveropen!
Ready to dive in? Explore our Free Demo Content and join our DSA course, trusted by over 100,000 neveropen!
