Help with an Algebra 2 word problem

Click For Summary
SUMMARY

The discussion revolves around solving an Algebra 2 word problem involving a glassblower and an apprentice. The glassblower completes a set of glasses in 2 hours, while together with the apprentice, they finish in 1.5 hours. The conclusion drawn is that the apprentice would take 6 hours to complete the task alone, as confirmed by the textbook. The solution involves setting up equations based on their work rates to find the apprentice's individual time.

PREREQUISITES
  • Understanding of work rate equations
  • Basic algebraic manipulation skills
  • Familiarity with unit rates
  • Knowledge of solving linear equations
NEXT STEPS
  • Study work rate problems in algebra
  • Practice solving linear equations
  • Explore combined work rate scenarios
  • Review unit rate calculations in practical contexts
USEFUL FOR

Students studying Algebra 2, educators teaching algebra concepts, and anyone looking to improve their problem-solving skills in mathematics.

MACHO-WIMP
Messages
42
Reaction score
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.
 
Physics news on Phys.org
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.
 
thank you SOOOO much NascentOxygen! I have been staring at this problem for a long time. again, thanks.
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 12 ·
Replies
12
Views
8K
  • · Replies 8 ·
Replies
8
Views
6K
  • · Replies 2 ·
Replies
2
Views
2K