Question

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

Answer 1

38

Explanation:

Answer 2

`(1)/(2)\cdot h-2=17`

Total length of Josh's hike is 38 km.

Explanation:

Please consider the complete question.

Josh is hiking Glacier National Park. He has now hiked a total of 17 km, and is 2 km short of being 1/2 of the way done with his hike

Write an equation to determine the total length in kilometers (h) of Josh's hike. Find the total length of Josh's hike. (km)

Let h represent the total length in kilometers.

1/2 of the total distance would be
`(1)/(2)\cdot h`.

Now we will subtract 2 to half of the distance as Josh is 2 km short of being 1/2 of the way.

`(1)/(2)\cdot h-2`

Now we will equate total distance covered by Josh with 17 km as:

`(1)/(2)\cdot h-2=17`

Therefore, our required equation would be
`(1)/(2)\cdot h-2=17`.

Let us solve for h.

`(1)/(2)\cdot h-2+2=17+2`

`(1)/(2)\cdot h=19`

`(1)/(2)\cdot h\cdot 2=19\cdot 2`

`h=38`

Therefore, the total length of Josh's hike is 38 km.