Alan and? Ben, are 19.2 miles apart and walking towards each other. They meet in 44 hours. Find the rate of each hiker if Ben walks 0.6 mph faster than Alan.

Question

I need help, I'm struggling in math and I can't find out how to solve these problems and get the correct answers. If you could help me out that would be great.

Answer 1

d = rt. Their combined distance is 19.2 miles.

 

If Alan's rate is a, then Ben's is a + .06

 

19.2 = 44a + 44(a + .06)

19.2 = 44a + 44a + 2.64

88a = 16.56

a = .19 mph

 

.19 + .06 = .25 mph