Abus travels two different routes: the green route and the blue route. the roots 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

Length of green route is 4.5 miles and length of blue route is 5 miles.

Step-by-step explanation:

Let the length of Green route be x.

Also the length of Blue route be y.

Now Given:

On Monday the bus traveled the green route 6 times and the blue route 5 times, traveling a total of 52 miles.

So Total Miles can be Calculated by sum of length of green route multiplied with number of time bus travel in green route and length of blue route multiplied with number of times bus travels in blue route.

Framing in equation form with given data we get;

On Tuesday the bus traveled the green route 12 times and the blue route 13 times, traveling a total of 119 miles.

So Total Miles can be Calculated by sum of length of green route multiplied with number of time bus travel in green route and length of blue route multiplied with number of times bus travels in blue route.

Framing in equation form with given data we get;

Now Multiplying equation 1 with 2 we get;

Now Subtracting equation 3 from 2 we get;

Now Substituting the value of y in equation 1 we get;

Hence Length of green route is 4.5 miles and length of blue route is 5 miles.

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step-by-step explanation: