Let's denote the length of the Green Route as "G" and the length of the Blue Route as "B."
From the information given, we can create a system of equations:
6G + 5B = 52
12G + 13B = 119
Now, we can solve this system of equations to find the length of the Green Route:
Multiply the first equation by 2:
12G + 10B = 104
Subtract the first equation from the second equation:
3B = 15
B = 5
Now we can substitute the value of B back into the first equation to find the length of the Green Route:
6G + 5(5) = 52
6G + 25 = 52
6G = 27
G = 27/6
G = 4.5
Therefore, the length of the Green Route is 4.5 miles.
A bus travels two different routes: the Green Route and the Blue Route. The routes are different lengths.
On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles.
On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles.
What is the length of the Green Route in miles?
1 answer