# 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

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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.

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