Problema Solution

bill leaves his house for sams house riding his bike at 8 miles per hour. at the same time sam leaves his house heading toward bill's house walking at 3 miles per hour.

write a system ecuation to represent the distance d each is from sam's house in h hours. they live 8.25 miles apart.

Answer provided by our tutors

let


v1 = 8 mph is the speed of Bill


v2 = 3 mph is the speed of Sam


the distance that Bill rides + the distance that Sam walks = 8.25


let d represent the distance from Sam's house in h hours


For Bill the equation is:


d = 8.25 - v1*h


d = 8.25 - 8h


For Sam the equation is:


d = v2*h


d = 3h