Question

Josh is hiking Glacier National Park. He has now hiked a total of 17 \text{ km}17 km17, space, k, m and is 2 \text{ km}2 km2, space, k, m short of being \dfrac12 ​2 ​ ​1 ​​ start fraction, 1, divided by, 2, end fraction of the way done with his hike.

Answer 1

For this case, the first thing you should do is define a variable.

We have then:

d: distant total traveled.

We now write the equation that models the problem.

We have then:

$\frac{1}{2}d = 17 + 2$

From here, we must clear the value of the unknown d.

We have then:

$\frac{1}{2}d = 19\\d = 19 * 2\\d = 38 Km$

Answer:

The total distance that Josh will travel is:

$d = 38 Km$

Answer 2

Josh has hiked 17 km, which is 2 km away from being 1/2 done. 
In a equation, this might look like: 17 + 2 = (1/2)h 
where h is the length of the hike. 
and solve for h, h = 38 km

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