# 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

### The Absolute Best Book to Challenge Your Smart Student!

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 AlgebraOriginal price was: $29.99.$19.99Current price is: $19.99.Original price was: $29.99.$14.99Current price is: $14.99.Original price was: $29.99.$14.99Current price is: $14.99.Satisfied 1 StudentsOriginal price was: $24.99.$14.99Current price is: $14.99.Satisfied 92 StudentsOriginal price was: $24.99.$15.99Current price is: $15.99.Satisfied 125 Students

## Related to This Article

### More math articles

- 3rd Grade WY-TOPP Math Worksheets: FREE & Printable
- How to Unravel the Essential Properties of Rectangles
- The Ultimate Praxis Core Math Course (+FREE Worksheets & Tests)
- ACT Math Formulas
- How to Prepare for the PSAT 10 Math Test?
- How to Use Area Models to Find Equivalent Fractions
- Descending into Numbers: A Deep Dive into the Floor Value
- Top 10 7th Grade FSA Math Practice Questions
- 3rd Grade Georgia Milestones Assessment System Math Worksheets: FREE & Printable
- Accuplacer Math FREE Sample Practice Questions

## What people say about "Algebra Puzzle – Challenge 44 - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.