Two hikers are 14 miles apart and walking toward each other. They meet in 2 hours. Find the rate of each hiker if one hiker walks 2.8 mph faster than the other.

The rate of one is 2.1 mph and the rate of the other is 4.9 mph

Explanation:

Let the rate of one be y mph

The rate of the other = (y+2.8) mph

Total rate = y + y + 2.8 = (2y+2.8) mph

Total rate = distance apart/time

2y + 2.8 = 14/2

2y + 2.8 = 7

2y = 7 - 2.8

2y = 4.2

y = 4.2/2 = 2.1 mph

The rate of the other is y+2.8 = 2.1+2.8 = 4.9 mph