SOLUTION: The scenic route to Mia’s office is 5 kilometers longer than the direct route . when she goes by the scenic route and returns by the direct route, the round trip is 35 kilometer

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Question 304742: The scenic route to Mia’s office is 5 kilometers longer than the direct route . when she goes by the scenic route and returns by the direct route, the round trip is 35 kilometers . how many kilometers is the direct route ?
(A) 5 (B) 12 1/2 (C) 15 (D) 20 (E) 22 1/2

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the length of the direct route.
Let x + 5 = the length of the scenic route.

The equation for the round trip is:

x + (x + 5) = 35

Remove parentheses and combine like terms to get:

2*x + 5 = 35

Subtract 5 from both sides of this equation to get:

2*x = 30

Divide both sides of this equation by 2 to get:

x = 15

The direct route is 15 miles in length and the scenic route is 20 miles in length.

15 + 20 = 35 confirming the answer is good.