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.
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