Two hikers are 33 miles apart and walking toward each other. They meet in 10 hours. Find the rate of each hiker if one hiker walks 1.1 mph faster than the other.

Question

Two hikers are 33 miles apart and walking toward each other. They meet in 10 hours. Find the rate of each hiker if one hiker walks 1.1 mph faster than the other.

Word Question

Answer 1

distance = rate of speed time time

33 = 10x + 10(x+1.1) = 20x +11

20x = 22

x = 22/20 = 1.1 mph for slower hiker

x+1.1 = 2.2 mph for faster hiker

slower 1 hikes 11 miles

faster hikes 22 miles when they meet