Question

Hank the hiker would like to go on a hike. He only has four hours available today for the hike. The expression

12d + 12e
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.

Explanation:

Time available for hike = 4 hours

Length of trail that hank would like to hike = 6 miles

Elevation gain of the trail = 3000 feet

The expression representing the time needed for hike is:

`t =(1)/(2)d+(1)/(2)e`

d = the distance/length of the trail = 6

e = elevation gain in thousands = 3

Using these values in the above equation, we get:

`t=(1)/(2)(6)+(1)/(2)(3)=4.5`

This means according to the guide Hank should allow him 4.5 hours for the hike. But since he has only 4 hours, he won't be able to complete the hike today