# Algebra Puzzle – Challenge 44

A perfect mathematics challenge to tease your brain and check your critical and creative thinking skills!

## Challenge:

Edward can finish $$40\%$$ of a job in 2 days and Emanuel can finish $$15\%$$ of the same job in 3 days. How many days does it take Edward and Emanuel to finish $$75\%$$ of the same job if they work together?

A- 2.5

B- 3

C- 4.5

D- 5

E- 5.5

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$11.99 Satisfied 123 Students The correct answer is B. Edward can finish $$40\%$$ of a job in 2 days. Therefore, he can finish the job in 5 days. $$40\%$$ of x = 2 → x = 5 Emanuel can finish $$15\%$$ of the same job in 3 days. So, he can finish the whole job in 20 days. $$15\%$$ of x = 3 → x = 20 First, let’s find the time it takes to finish the job if both Edward and Emanuel work together. $$\frac{1}{a} + \frac{1}{b} = \frac{1}{t} → \frac{1}{5} + \frac{1}{20} = \frac{1}{t} →\frac{5}{20} = \frac{1}{t} → t = 4$$ It takes 4 days to finish the job if both of them work together. Therefore, they can finish $$75\%$$ of the job in 3 days: $$x = 4 → 75\%$$ of x equals 3. The Absolute Best Books to Ace Algebra$14.99
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