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

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) (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.

RELATED QUESTIONS
The scenic route from Mia�s home to her office is 5 kilometers longer than the direct... (answered by edjones)

paul traveled to lexington at 70 mph. on the way back he averages 55 mph. the way back... (answered by Alan3354,advanced_Learner)

On a drive to Hopkinsville you take the scenic route and drive at an average speed 50... (answered by richwmiller)

On a drive to Hopkinsville you take the scenic route and drive at average 50 mph. On your (answered by ewatrrr)

Becky traveled an average of 60 mph on a trip to St. Louis. On her return trip, she took... (answered by stanbon)

The distance along a scenic route between two cities is 388 miles. One group of tourists... (answered by josmiceli)

Mr. Brown drove from his home to his school at the rate of 25 mph and returned by a... (answered by ankor@dixie-net.com)

Car A starts in Sacramento at 11am. It travels along 400 mile route to LA at 50mph. Car B (answered by palanisamy)

Car A starts in Sacramento at 11am. It travels along a 400 mile route to Los Angeles at... (answered by ikleyn,mccravyedwin,greenestamps)