Help with an Algebra 2 word problem

AI Thread Summary
The problem involves determining how long it would take an apprentice to make a set of glasses alone, given that a glassblower can do it in 2 hours and together they can complete the task in 1.5 hours. The solution requires establishing the work rates of both the glassblower and the apprentice. The combined work rate can be expressed as an equation to solve for the apprentice's individual rate. The book states the apprentice would take 6 hours to complete the task alone. This approach highlights the importance of understanding work rates in solving such algebraic problems.
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

Back
Top