Question

Hank the hiker would like to go on a hike. He only has four hours available today for the hike. The expression 1/2d + 1/2e is used as a general guide to determine how much time, in hours, a hiker should allow for hiking a trail with a distance of d miles and an elevation gain of e thousand feet. The trail Hank would like to hike is 6 miles long and has an elevation gain of 3000 ft. Will Hank be able to complete this hike in the block of time he has available today?

Answer 1

No. Hank wont be able to complete the hike.

Explanation:

Time Available for hike = 4 hours

The expression which represents the time Hank needs to complete the hike is:

`\text{time}=(1)/(2)d+(1)/(2)e`

d is the distance in miles of the hiking trail. Since, Hank would like to hike 6 miles, d = 6

e is the elevation gain in thousands. Since, the trail hank will hike on has an elevation gain of 3000, so e = 3

Using these values in the expression, we get:

`\text{Time}=(1)/(2)(6)+(1)/(2)(3)=4.5`

This means Hank should allow him 4.5 hours or the hike. Since he has only 4 hours available, he wont be able to complete the hike. So the answer to this question is No.