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 train float speedOfTrain(float X, float Y) { float Speed = 0; Speed = 1188 * ((X - Y) / Y); return Speed; } // Driver code int main() { float X = 8, Y = 7.2; // calling Function cout << speedOfTrain(X, Y) << " km/hr"; return 0; } |
Java
// Java implementation of the approach 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(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 approach from math import ceil # Function to find the # Speed of train def speedOfTrain(X, Y): Speed = 0 Speed = 1188 * ((X - Y) / Y) return Speed # Driver code if __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 approach using 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.. |
132 km/hr
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