# 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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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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