Answer: Green route = 5.8 miles
Blue route = 5.4 miles.
Explanation:
Let the miles travelled for Green route be x
Let the miles travelled for Blue route be y
We can form an equation from the question given which will be:
8x + 9y = 95 ........ i
12x + 6y = 102 ......... ii
Multiply equation i by 12
Multiply equation ii by 8
96x + 108y = 1140 ....... iii
96x + 48y = 816 ....... iv
Subtract iv from iii
60y = 324
y = 324/60 = 5.4
Blue route is 5.4 miles.
Since 8x + 9y = 95
= 8x + 9(5.4) = 95
8x + 48.6 = 95
8x = 95 - 48.6
8x = 46.4
x = 46.4/8 = 5.8
Green route = 5.8 miles