Question

A tourist drives 70 miles along a scenic highway and then takes a 7-mile walk along a hiking trail. The average velocity driving is 7 times that while hiking. Express the total time for driving and hiking, T, as a function of the average velocity on the hike, x.

Answer 1

Answer: $T=\frac{17}{x}$

Step-by-step explanation:

The formula we need to use is:

$time=\frac{distance}{velocity}$

We know that "T" is the total time for driving and hiking and "x" is the average velocity on the hike.

Knowing that the tourist drives 70 miles along the scenic highway and walk 7-mile walk along the hiking trail, and also knowing that the average velocity driving is 7 times that while hiking, we can conclude that  the total time is:

$T=\frac{70}{7x}+\frac{7}{x}$

Finally, simplifying the equation, we get that  the total time for driving and hiking as a function of the average velocity on the hike, is:

$T=\frac{10}{x}+\frac{7}{x}\\\\T=\frac{10+7}{x} \\\\T=\frac{17}{x}$