30 minutes to Correct 150 Quizzes - Algebra 1 Problem

  • Thread starter Thread starter AznBoi
  • Start date Start date
  • Tags Tags
    Algebra Algebra 1
AI Thread Summary
Mr. Jacobs can correct 150 quizzes in 50 minutes, while his student aide takes 75 minutes for the same task. When working together, their combined rate is 5 quizzes per minute. This means they can complete the correction of 150 quizzes in 30 minutes. The solution involves understanding their individual rates and how they combine when working together. The approach taken in the discussion is valid and effectively illustrates the problem-solving process.
AznBoi
Messages
470
Reaction score
0
I'm confused on how to solve this problem effectively. I have solved it using my own "wierd" way. I will post my solution but please post others that may be more understandable. Thanks.

Problem: Mr. Jacobs can correct 150 quizzes in 50 minutes. His student aide can correct 150 quizzes in 75 minutes. Working together, how many minutes will it take them to correct 150 quizzes?

My solution:
150q/50m = 15/5=3x

150q/75m= 2x

2x+3x=5x=150

x=30 ..lol
 
Mathematics news on Phys.org
Think of correcting 150 quizes as "one job". The problem description involves rates. Rate * Time = Jobs

Mr. Jacobs: 1 job per 50 minutes
student aid: 1 job per 75 minutes

Similar to rate*time=distance, these rates may be additive if Mr. Jacobs and his aid work together.
 
Actually, your "weird" way is perfectly reasonable- you calculated the rate at which they correct grades: Mr. Jacobs corrects 3 quizzes per minute and his aid corrects 2 quizzes per minute. Together they correct 5 quizzes per minute.
 

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Similar threads

What is the solution to (1+x+x^2+x^3)^2 from Gelfand's Algebra?
Replies
2
Views
2K
Perceived Ambiguity in Factoring Polynomial Expressions
Replies
5
Views
3K
Solving a Model Rocket Launch Problem
Replies
9
Views
5K
Are My Calculations Correct for this Complex Circuit?
Replies
11
Views
1K
Where Do the Graphs of |3x-2| and 1/x Intersect and Diverge?
Replies
4
Views
2K
Solve Optimal Factory Construct Problem for Max Goods in 10-50 Hours
Replies
9
Views
2K
B Solving a Linear Programming Problem which Requires Integer Solutions
Replies
17
Views
3K
[Algebra] Workload (rate) problems
Replies
2
Views
3K
Find the correct value of the mean in the given problem
Replies
4
Views
1K
Tricky Problem: Prove range T = null ##\phi## when null T' has dim 1
Replies
8
Views
2K

Hot Threads

Recent Insights

Back
Top