If Daniel Has Cycled 2 Stages, One Of 20 Km And Another Of 10 Km, And Needs To Cover A Total Of 60 Km, How Many Kilometers Does He Still Need To Run?

Introduction

In this mathematical problem, we'll determine the remaining distance Daniel needs to run after completing two cycling stages. To solve this, we need to calculate the total distance Daniel has already covered by cycling and then subtract that from the total distance he needs to cover. This article provides a step-by-step breakdown of the calculation, ensuring a clear understanding of how to arrive at the solution. This type of problem is fundamental in understanding basic arithmetic and problem-solving skills, which are crucial in everyday life. Whether you are a student learning these concepts for the first time or someone looking to brush up on your math skills, this guide will walk you through the process in a simple and easy-to-understand manner. We'll focus on breaking down the problem into smaller parts, making it easier to manage and solve. Let's dive into the details and find out how many kilometers Daniel still has left to run.

Problem Statement

Daniel has completed two cycling stages of 20 km and 10 km respectively. If he needs to cover a total distance of 60 km, how many kilometers does he still need to run? This problem involves basic arithmetic operations, specifically addition and subtraction. To solve this, we first need to find the total distance Daniel has cycled so far. This can be achieved by adding the distances of the two cycling stages. Once we have the total distance cycled, we subtract it from the overall distance Daniel needs to cover to find out the remaining distance he needs to run. The problem requires a clear understanding of how to apply these operations in the correct order to arrive at the correct answer. It is a practical example of how mathematical concepts are used in real-life scenarios, such as planning a journey or calculating distances in sports and fitness activities. By solving this problem, we reinforce our ability to handle similar calculations in various contexts.

Step-by-Step Solution

First, we need to determine the total distance Daniel has cycled. He completed two stages: one of 20 km and another of 10 km. To find the total distance, we add these two distances together:

${ 20 \text{ km} + 10 \text{ km} = 30 \text{ km} }$

So, Daniel has cycled a total of 30 km. Next, we need to find out how many kilometers Daniel still needs to run. He needs to cover a total distance of 60 km, and he has already cycled 30 km. To find the remaining distance, we subtract the distance he has cycled from the total distance:

${ 60 \text{ km} - 30 \text{ km} = 30 \text{ km} }$

Therefore, Daniel still needs to run 30 km. This step-by-step approach simplifies the problem, making it easier to understand and solve. By breaking down the problem into smaller, manageable steps, we reduce the complexity and ensure accuracy in our calculations. This method is not only useful for this specific problem but can also be applied to a wide range of mathematical problems.

Detailed Calculation

To provide a more detailed explanation, let's revisit the calculation process. Daniel cycled 20 km in the first stage and 10 km in the second stage. Adding these distances gives us the total distance cycled:

• Distance of first stage: 20 km
• Distance of second stage: 10 km
• Total distance cycled: 20 km + 10 km = 30 km

Now, we know Daniel needs to cover a total of 60 km. To find the remaining distance, we subtract the total distance cycled from the total distance to be covered:

• Total distance to cover: 60 km
• Total distance cycled: 30 km
• Remaining distance: 60 km - 30 km = 30 km

This detailed breakdown ensures that every step is clearly understood. The use of bullet points helps to organize the information and makes it easier to follow the calculations. By presenting the problem in this manner, we enhance comprehension and make the solution more accessible to readers. The repetition of the steps reinforces the learning process and helps to solidify the understanding of the concepts involved.

Conclusion

In conclusion, Daniel needs to run 30 km more to complete his total distance goal of 60 km. This problem highlights the importance of understanding basic arithmetic operations such as addition and subtraction in solving practical, real-life scenarios. By breaking the problem down into smaller, manageable steps, we were able to easily calculate the total distance Daniel had already covered and then determine the remaining distance he needed to run. This approach not only helps in solving mathematical problems but also enhances problem-solving skills in general. The ability to break down complex problems into simpler parts is a valuable skill that can be applied in various aspects of life. Understanding these fundamental concepts is crucial for further studies in mathematics and related fields. Furthermore, the practical application of these concepts helps to build confidence in one's mathematical abilities.

Keywords

Distance calculation, remaining distance, arithmetic operations, addition, subtraction, problem-solving, mathematical problem, cycling stages, total distance, practical math, Daniel's run, kilometer calculation.

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