What if you know that "140 km traveled in 6 hours, 1 hour costs $17. How much does 1 km cost?". Thus, you need to find the price per 1 kilometer. In my humble opinion, you can solve this task in two steps - multiplication and division. Multiply the hour price by the total number of hours and divide the result by the total number of kilometers traveled.
But, our website is made to automate the calculations. Now you need to enter the values of three variables, and you will automatically receive an answer. Thus, talking about automation - we are freeing the user from pressing the "multiply", "divide", and "equals" buttons, and, potentially, from brain activity if he/she suddenly decides to solve this problem in mind.
Digits after the decimal point: 2
Cost per kilometer
As an expert in mathematical concepts and problem-solving, I have a deep understanding of the principles involved in the scenario presented. To tackle the problem at hand, which involves determining the cost per kilometer given the total distance traveled, time taken, and the cost per hour, I will provide a comprehensive analysis.
Firstly, the given information states that 140 km were traveled in 6 hours, and the cost of 1 hour is $17. To find the cost per kilometer, we can follow the two-step process mentioned.
Step 1: Multiply the hour price by the total number of hours. [17 \, \text{dollars/hour} \times 6 \, \text{hours} = 102 \, \text{dollars}]
Step 2: Divide the result by the total number of kilometers traveled. [ \frac{102 \, \text{dollars}}{140 \, \text{km}} ]
This yields the cost per kilometer.
Now, regarding the automation aspect mentioned in the article, the website aims to streamline this process by eliminating the need for manual multiplication and division. Users simply need to input three variables - the cost of one hour (or kilometer), total kilometers, and total time in hours. The website then automates the calculations, freeing the user from pressing the "multiply," "divide," and "equals" buttons.
The formula used for the automated calculation is: [ \text{Cost per kilometer} = \frac{\text{Cost per hour} \times \text{Total time}}{\text{Total kilometers}} ]
The article also introduces the concept of calculation precision, allowing users to specify the number of digits after the decimal point in the result. This adds flexibility to the tool, catering to different precision requirements.
In conclusion, the article outlines a practical approach to solving the given problem, emphasizes the automation of the process through a dedicated website, and introduces a customizable precision feature for the calculated result. This comprehensive solution demonstrates a profound understanding of mathematical concepts and the practical application of automation in problem-solving.
