乘船经过的两点之间的距离
编写一个程序来确定船行进的两点之间的距离(D),给定船在静水中的速度(B),溪流的速度(S),划船一个地方并返回所花费的时间,即T。
例子:
Input : B = 5, S = 1, T = 1
Output : D = 2.4
Input : B = 5, S = 2, T = 1
Output : D = 2.1
距离公式为 D = T*(B^2 – S^2)/ (2*B)
这个公式是如何工作的?
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
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#
// 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
输出:
The distance between two points via boat = 2.4 km