# Thread: [SOLVED] Finding the rate in an Algebra 1 Work Word Problem

1. ## [SOLVED] Finding the rate in an Algebra 1 Work Word Problem

Working together, Paul and Daniel can pick forty bushels of apples in 4.95 hours. Had he done it alone it would have taken Daniel 9 hours. Find how long it would take Paul to do it alone.

Equation > 4.95/9 + 4.95/x = 1

I know how to set-up the equation, but I just don't know how to solve it.

2. Originally Posted by momokitty2
Working together, Paul and Daniel can pick forty bushels of apples in 4.95 hours. Had he done it alone it would have taken Daniel 9 hours. Find how long it would take Paul to do it alone.

Equation > 4.95/9 + 4.95/x = 1

I know how to set-up the equation, but I just don't know how to solve it.
get the x's one one side of the equation:

$\displaystyle \Rightarrow \frac {4.95}{x} = 1 - \frac {4.95}9$

$\displaystyle \Rightarrow \frac {4.95}x = \frac {4.05}9$

now flip both sides:

$\displaystyle \Rightarrow \frac x{4.95} = \frac 9{4.05}$

now multiply both sides by 4.95

$\displaystyle \Rightarrow x = 4.95 \cdot \frac 9{4.05}$

and simplify