The sign shows distances from a rest stop to the exits for different towns along a straight section of highway. The state department of transportation is planning to build a new exit to Freestone at the midpoint of the exits for Roseville and Edgewood. When the new exit is built, what will be the distance from the exit for Midtown to the exit for Freestone?

Midtown 17 mi.
Roseville 33 mi.
Edgewood 55 mi.
vertze vertze

When the new exit is built the distance from the exit for Midtown to the exit for Freestone will be miles.

Question

15-08-2017
Mathematics

contestada

The sign shows distances from a rest stop to the exits for different towns along a straight section of highway. The state department of transportation is planning to build a new exit to Freestone at the midpoint of the exits for Roseville and Edgewood. When the new exit is built, what will be the distance from the exit for Midtown to the exit for Freestone?

Midtown 17 mi.
Roseville 33 mi.
Edgewood 55 mi.
vertze vertze

When the new exit is built the distance from the exit for Midtown to the exit for Freestone will be miles.

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Аноним Аноним · Answer 1 · 2017-08-22T14:08:37+02:00

Refer to the diagram shown below.

The new exit (Freestone) will be midway between Roseville and Freetown.
The distance between Roseville and Freetown is 55 - 33 = 22 miles.
Therefore
a = 22/2 = 11 miles.

The distance from the rest stop to the new exit (Freestone) is
33 + a = 44 miles.

The distance between the new exit (Freestone) to the exit for Midtown will be
44 - 17 = 27 miles.

Answer:
When the new exit is built, the distance from the exit for Midtown to the exit for Freestone (the new exit) will be 27 miles.