Algebra Puzzle – Challenge 43
Time to challenge your brain with another great math puzzle! This puzzle needs a deep understanding of Algebra!
Challenge:
David can finish a job in 54 days. Peter is \(35\%\) faster than David. How long does it take Peter to finish the same job?
A- 38
B- 40
C- 44.2
D- 50
E- 52
The Absolute Best Book to challenge your Smart Student!
The correct answer is B.
Peter is \(35\%\) faster than David. Therefore, when David finishes a job, Peter finishes 1.35 of the same job.
Let’s assume that David prepares 54 units in 54 days. Then, Peter can prepares 54 × 1.35 = 72.9 units in the same time.
Now, how long does it take Peter to prepare 54 units?
\(\frac{54}{x} = \frac{72.9}{54} ⇒ x = 40\)
It takes Peter 40 days to finish the same job.
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
Related to This Article
More math articles
- How to Solve Word Problems of Dividing Two-Digit Numbers By One-digit Numbers
- How to Use Area Models to Find Equivalent Fractions
- Geometry Puzzle – Challenge 68
- Time Travel Adventure: How to Perform Indirect Measurement in Similar Figures
- Best Tablet Floor Stands For Online Teaching
- How to Solve Radical Equations? (+FREE Worksheet!)
- The Ultimate SSAT Middle-Level Math Course (+FREE Worksheets & Tests)
- 8th Grade Common Core Math Practice Test Questions
- Back to School Essentials: Why “Pre-Algebra for Beginners” Should Be on Your List
- FREE ParaPro Math Practice Test
What people say about "Algebra Puzzle – Challenge 43 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.