<PRE><B>Question 667728</B>
let Alton be x miles from where she is.

Time taken in both options is the same.

Option I speed = 60 mph

t=d/r

time taken = x/60

she will take 40 minutes less at higher speed. = 40/60 = 2/3 hours


t-2/3 = x/90
t= x/90 +2/3

Equate the time in both options

x/60 = x/90 +2/3

x/60 -x/90 = 2/3

LCD = 180
Multiply equation by 180
3x-2x=180*2/3

x=120
Alton is 120 miles from where she is now.</PRE>