Answer
The musher has traveled $699\displaystyle \frac{1}{3}$ miles.
Work Step by Step
$\bf{\text{l. Familiarize yourself with the problem.}}$
The start is at Anchorage.
Letting Musher be x miles from Anchorage, it is $(1049-x)$ from Nome.
We need to find an x such that $x$ is twice as much as $(1049-x).$
$\bf{\text{2. Translate to mathematical language. (This often means writing an equation.)}}$
$2(1049-x)=x$
$\bf{\text{3. Carry out some mathematical manipulation. (This often means solving an equation.)}}$
$ 2098-2x=x\qquad$ ... add $2x$ to both sides
$ 2098=3x\qquad$ ... divide with 3
$699\displaystyle \frac{1}{3}=x$
$\bf{\text{4. Check your possible answer in the original problem.}}$
The distance to Nome is $1049-699\displaystyle \frac{1}{3}=349\frac{2}{3}.$
Double this, and we get $698\displaystyle \frac{4}{3}=699\frac{1}{3}$, the distance from Anchorage,
as it should be.
$\bf{\text{5. State the answer clearly using a complete sentence.}}$
The musher has traveled $699\displaystyle \frac{1}{3}$ miles.
