Help with an Algebra 2 word problem

In summary, when a glassblower works alone, they can produce a set of glasses in 2 hours. However, when working with an apprentice, the job takes 1.5 hours. To determine how long it would take the apprentice to make a set of glasses alone, the combined rate of work for the glassblower and apprentice can be calculated using the given information. Using this combined rate, it can be concluded that it would take the apprentice 6 hours to make a set of glasses on their own.
  • #1
MACHO-WIMP
43
0

Homework Statement


a glassblower can produce a set of simple gasses in about 2 hours. when the glassblower works with an apprentice, the job takes about 1.5 hours. How long would it take the apprentice to make a set of glasses when working alone?


Homework Equations


none


The Attempt at a Solution


I'm really having trouble with this question. The back of the book says that it will take the apprentice 6 hours to do so, but I don't have the slightest clue of how they got there.
 
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  • #2
One way to solve this is to say that the glassblower works at a rate of G units of work per hour,
and the apprentice works at A units of work per hour. So you can then say their combined rate of working is going to be ... units of work per hour.

Then use the information you are given to form an equation or two, and solve for A.
 
  • #3
thank you SOOOO much NascentOxygen! I have been staring at this problem for a long time. again, thanks.
 

Related to Help with an Algebra 2 word problem

What is an Algebra 2 word problem?

An Algebra 2 word problem is a mathematical question that involves using algebraic equations and variables to solve a real-world scenario or situation. These types of problems usually require critical thinking and problem-solving skills to come up with a solution.

How can I approach solving an Algebra 2 word problem?

The best approach to solving an Algebra 2 word problem is to first read the problem carefully and identify the given information and what is being asked. Then, create a diagram or write out the given information in the form of an equation. Finally, use algebraic operations to solve for the unknown variable.

What are some common mistakes to avoid when solving an Algebra 2 word problem?

Some common mistakes to avoid when solving an Algebra 2 word problem include misinterpreting the given information, using the wrong equation or formula, and not checking your answer for accuracy. It is important to double-check your work and make sure it aligns with the given information and the problem's objective.

Are there any tips or strategies for solving Algebra 2 word problems?

Yes, there are a few helpful tips and strategies for solving Algebra 2 word problems. These include identifying key words and phrases in the problem, creating a visual representation of the problem, and breaking the problem into smaller, more manageable parts. It is also important to practice regularly and familiarize yourself with different types of word problems.

Where can I find additional help with Algebra 2 word problems?

If you are struggling with Algebra 2 word problems, there are various resources available for additional help. These include online tutorials, practice problems, and seeking assistance from a teacher or tutor. It is also helpful to review the fundamentals of algebra and practice solving equations to strengthen your skills in approaching word problems.

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