A can build a wall in the same time in which B and C together can do it. If A and B together could do it in 25 days and c alone in 35 days, In what time could B alone do it? 

If you happen to be viewing the article A can build a wall in the same time in which B and C together can do it. If A and B together could do it in 25 days and c alone in 35 days, In what time could B alone do it? ? on the website Math Hello Kitty, there are a couple of convenient ways for you to navigate through the content. You have the option to simply scroll down and leisurely read each section at your own pace. Alternatively, if you’re in a rush or looking for specific information, you can swiftly click on the table of contents provided. This will instantly direct you to the exact section that contains the information you need most urgently.

Let’s dive into a building mystery together! A, B, and C are working on a wall. A and B take 25 days, and A is as fast as B and C together. Can you crack the code and figure out how many days B would take to build the wall solo?

A can build a wall in the same time in which B and C together can do it. If A and B together could do it in 25 days and c alone in 35 days, In what time could B alone do it?

It will take 175 days for B to work alone.

Explanation

Let’s denote the rate of work for each person:

Let x be the rate of work for A, y for B, and z for C.

The given information can be translated into the following equations:

1. A can build a wall in the same time in which B and C together can do it: x = y + z

2. A and B together could do it in 25 days: 1/x + 1/y = 1/25

3. C alone could do it in 35 days: 1/z = 1/35

Now, let’s solve these equations to find the values of x, y, and z.

From equation (3), we get z=35.

Now, substitute z=35 into equation (1):

x = y + 35

Substitute z=35 into equation (2):

1​/x + 1/y ​= 1​/25

Substitute x = y + 35 into the above equation and solve for y. After finding y, substitute it back to find x.

Once you have the values of x, y, and z, you can find the time it takes for B alone to build the wall, which is the reciprocal of y.

After solving the equations,

It will take 175 days for B to work alone.

Article continues below advertisement

Time and Work

Time and work is a fundamental concept in mathematics that explores the relationship between the amount of work completed, the time taken to complete it, and the rate of work of individuals or groups involved. It’s important in various fields, including:

• Competitive exams: It’s a frequent topic in quantitative aptitude tests due to its focus on numerical analysis and problem-solving.
• Resource management: Understanding how time and work relate helps optimize resource allocation and project planning.
• Real-world applications: From calculating construction timelines to predicting production rates, time and work concepts are used in diverse areas.

Here are some key points to remember about time and work:

Basic Formulas:

• Work Done (W) = Rate of Work (R) x Time Taken (T)
• Rate of Work (R) = Work Done (W) / Time Taken (T)
• Time Taken (T) = Work Done (W) / Rate of Work (R)

Important Concepts:

• Inverse Proportionality: Time and rate of work are inversely proportional. When one increases, the other decreases proportionally.
• Work Equivalence: If two individuals or groups complete the same work, their individual rates of work are inversely proportional to the time they take.
• Efficiency: It measures the rate of work relative to a standard or benchmark. Higher efficiency signifies completing work faster.

Types of Problems:

• Single worker, fixed work: Find the time taken or rate of work for one person to complete a specific task.
• Multiple workers, fixed work: Calculate the individual or combined time taken by multiple people to finish a job.
• Work done in parts: Analyze the work completed by different individuals or groups and their respective contributions.
• Rates with variations: Explore scenarios where rates of work change throughout the process.

Thank you so much for taking the time to read the article titled A can build a wall in the same time in which B and C together can do it. If A and B together could do it in 25 days and c alone in 35 days, In what time could B alone do it?  written by Math Hello Kitty. Your support means a lot to us! We are glad that you found this article useful. If you have any feedback or thoughts, we would love to hear from you. Don’t forget to leave a comment and review on our website to help introduce it to others. Once again, we sincerely appreciate your support and thank you for being a valued reader!

Source: Math Hello Kitty
Categories: Math