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.

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

Find the total length of Josh's hike. \text{km}km

Answer 1

The equation to determine the total length in kilometers is
`(h)/(2) =(17+2)`

The total length in kilometers of Josh’s hike is 38 km.

Explanation:

Given:

Let the total length in kilometers of Josh’s hike be h.

Now Given that 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.

It means that to reach half of the length of total length Josh needs 2 more km to add in his hiking which is done which is of 17 km.

Framing the above sentence in equation form we get;

`(h)/(2)=(17+2)`

Hence, The equation to determine the total length in kilometers is
`(h)/(2) =(17+2)`

Now Solving the above equation we get;

First we will multiply 2 on both side using Multiplication property we get;

`2* (h)/(2)= 2*(17+2)\\\\h =2* 19 =38 \ km`

Hence, The total length in kilometers of Josh’s hike is 38 km.