Problema Solution
Allison drove home at 62 mph, but her brother Austin, who left at the same time, could drive at only 44 mph. When Allison arrived, Austin still had 126 miles to go. How far did Allison drive?
Answer provided by our tutors
let
v1 = 62 mph the speed of Allison
v2 = 44 mph the speed of Austin
t = the time it took Alison to arrive home
d = the distance that Alison drove (the distance to home)
since speed = distance/time => distance = speed*time
the distance that Alison drove = the distance Austin drove + 126 miles
v1*t = v2*t + 126
62t = 44t + 126
by solving the equation we find
t = 7 hours
click here to see the step by step solution of the equation
d = v1*t = 62*7 = 434 miles
Alison drove 434 miles.