If Ayman has driven 30 miles so far (three - fifths of the way home) you can calculate what is the total length of her drive using the following steps-
x total length three - fifths of the way home = 30 miles
3/5 of x = 30 miles
3 / 5 * x = 30 /*5/ 3
x = 30 * 5/3
x = 50 miles
The total length of her drive is 50 miles.