Question

The North Colony Trail at Royal Gorge, Colorado, is 18 miles long. Stacey has hiked four miles to a resting spot. She hikes the rest of the trail at two miles per hour. How far from the beginning of the trail is stacy six hours after leaving the resting spot?

Answer 1

Stacey is 16 miles far from the beginning of the trail.

Explanation:

Given:

Stacey's total hike journey to NCT, Colorado = 18 miles

Distance covered by her to, a resting spot = 4 miles

We have to find:

How far from the beginning of the trail is Stacey
`6` hours after leaving the resting spot.

According to the question.

Distance remaining =
`(18-4) = 14` miles

Time taken =
`6` hours Speed maintained =
`2` mph

After leaving the resting spot she has covered a distance :

⇒
`Distance = speed* time`

⇒
`Distance = 2* 6`

⇒
`Distance = 12` miles.

In
`6` hours she has covered
`12` miles and also she has covered
`4` miles before stopping here.

From the beginning she has covered :

⇒
`Total\ distance =(4+12)`

⇒
`Total\ distance = 16` miles.

Stacey is 16 miles far from the beginning of the trail.