Two hikers Alan and Ben are 92 miles apart and walking towar

Two hikers, Alan and Ben, are 9.2 miles apart and walking towards each other. They meet in 2 hours. Find the rate of each hiker if Ben walks 0.8 mph faster than Alan. Alan\'s rate of speed is mph. (Round to one decimal place.) Ben\'s rate of speed is mph. (Round to one decimal place.)

Solution

let us say the speed of Alan is \'x\'

ben walks 0.8mph mush faster than Alan

so Ben walks with 0.8 mph + x mph

speed = distance /time

given distance = 9.2 miles and time =2hr

x +0.8 + x = 9.2 / 2

2x +0.8 = 4.6

2x = 3.8

x =1.9

so speed of Alan is 1.9 mph

and speed of Ben is 1.9 +0.8 = 2.7 mph