Question

Victoria is at an elevation of 150 feet. She hikes down to an elevation of 120 feet in 40 minutes. Then she hikes down to an elevation of 100 feet in 30 minutes.

Answer 1

Answer: First portion is greater than second portion.

Explanation:

Time taken to hiked down a trail = 10 minutes

Change in elevation = (-) 170 feet

Speed is given by

\begin{gathered}Speed=\frac{Distance}{Time}\\\\Speed=\frac{170}{10}\\\\Speed=17\text{ feet per minute}\end{gathered}

Speed=

Time

Distance

Speed=

10

170

Speed=17 feet per minute

Similarly,

Time taken to hiked down a trail = 20 minutes

Change in elevation = (-)220 feet

Speed is given by

Speed=\frac{Distance}{Time}Speed=

Time

Distance

\begin{gathered}Speed=\frac{220}{20}\\\\Speed=11\text{ feet per minutes}\end{gathered}

Speed=

20

220

Speed=11 feet per minutes

So, we can see that first portion of the hike where he hiked down a trail at a steady rate for 10 minutes and her change in elevation was (-) 170 feet, was her rate of change in elevation greater.

As 17 feet per minutes is greater than 11 feet per minutes.