Question

Hikers on a backpacking trip take 2 hours and 10 minutes to hike the first 2.6 miles of an 8-mile hike. At this pace, which amount of time best approximates how long they will take to hike the entire 8 miles of the trip.

A. 6 hours and 30 mins
B. 6 hours and 40 mins
C. 7 hours and 35 mins
D. 9 hours and 36 mins

Answer 1

B. 6 hours and 40 mins

Explanation:

Create a proportion where x is the amount of time to hike the entire 8 miles.

Represent the time in minutes:

`(130)/(2.6)` =
`(x)/(8)`

Cross multiply and solve for x:

2.6x = 1040

x = 400

Convert this to hours:

400/60

= 6.67 (6 hours and 40 mins)

So, the correct answer is B. 6 hours and 40 mins