Distance between two points travelled by a boat

Write a program to determine the distance(D) between two points traveled by a boat, given the speed of boat in still water(B), the speed of the stream(S), the time taken to row a place and come back i.e T.

Examples:

Input : B = 5, S = 1, T = 1
Output : D = 2.4

Input : B = 5, S = 2, T = 1 
Output : D = 2.1

Formula for distance is D = T*(B^2 - S^2)/ (2*B)

How does this formula work?

Time taken when person goes upstream, 
   t1 = D/(B-S)
Time taken when person goes downstream, 
  t2 = D/(B+S)

We are given t1 + t2 = T
So, D/(B-S) + D/(B+S) = T
   D = T*(B^2 - S^2)/ (2*B)

C++

// CPP program to find distance between
// two points using boat speed, stream
// speed and total time.
#include <iostream>
using namespace std;

// Function to calculate the distance
// between two points via boat
float distance(float T, float B, float S)
{
    return (T * (((B * B) - (S * S)) / (2 * B)));
}

int main()
{
    // Time taken time taken to row a place 
    // and come back in hr
    float T = 1;

    // Speed of boat in still water in km/hr
    float B = 5;

    // Speed of stream in km/hr
    float S = 1;
    cout << "The distance between two points via boat = "
         << distance(T, B, S) << " km";
    return 0;
}

Java

// java program to find distance between
// two points using boat speed, stream
// speed and total time.
import java.io.*;

class GFG {

    // Function to calculate the distance
    // between two points via boat
    static float distance(float T, float B, float S)
    {
        return (T * (((B * B) - (S * S)) / (2 * B)));
    }
    
    // Driver code
    public static void main (String[] args) 
    {
        // Time taken time taken to row a place 
        // and come back in hr
        float T = 1;
    
        // Speed of boat in still water in km/hr
        float B = 5;
    
        // Speed of stream in km/hr
        float S = 1;
        System.out.println("The distance between two points via boat = "
                           + distance(T, B, S) + " km");
        
    }
}

// This code is contributed by vt_m.

Python3

# Python 3 program to find distance 
# between two points using boat speed, 
# stream speed and total time.

# Function to calculate the distance
# between two points via boat
def distance( T, B, S):

    return (T * (((B * B) - (S * S)) / (2 * B)))

# Driver Code
if __name__ == "__main__":
    
    # Time taken time taken to row 
    # a place and come back in hr
    T = 1

    # Speed of boat in still 
    # water in km/hr
    B = 5

    # Speed of stream in km/hr
    S = 1
    print("The distance between two "+ 
          "points via boat =", 
           distance(T, B, S), "km")

# This code is contributed 
# by ChitraNayal

// C# program to find distance between
// two points using boat speed, stream
// speed and total time.
using System;

class GFG {

    // Function to calculate the distance
    // between two points via boat
    static float distance(float T, float B, float S)
    {
        return (T * (((B * B) - (S * S)) / (2 * B)));
    }

    // Driver code
    public static void Main()
    {
        // Time taken time taken to row a place
        // and come back in hr
        float T = 1;

        // Speed of boat in still water in km/hr
        float B = 5;

        // Speed of stream in km/hr
        float S = 1;
        Console.WriteLine("The distance between two points via boat = " +
                                              distance(T, B, S) + " km");
    }
}

// This code is contributed by vt_m.

JavaScript

<script>

// Javascript program to find distance 
// between two points using boat speed, 
// stream speed and total time.
  
// Function to calculate the speed 
// of boat in still water 
function  distance(T,B,S)
{
    return (T * (((B * B) - (S * S)) / (2 * B)));
}
  
// Driver Code
var T = 1;
var B = 5;
var S = 1;

document.write("The distance between " +
               "two points via boat = " + 
               distance(T, B, S) + " km ");
               
// This code is contributed by bunnyram19

</script>

Output:

The distance between two points via boat = 2.4 km

Time Complexity: O(1)

Auxiliary Space: O(1)

Distance between two points travelled by a boat

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