Question

Exits on an interstate are numbered consecutively.

The distance between Exit 5 and Exit 6 is 3.2 miles.
The distance between Exit 6 and Exit 7 is 1.1 miles farther than the distance between Exit 5 and Exit
6.
The distance between Exit 6 and Exit 8 is 2.4 miles farther than the distance between Exit 5 and Exit
7.
The distance between Exit 7 and Exit 8 is
miles.

Answer 1

9514 1404 393

Answer:

5.6 miles

Explanation:

Let the following distances between exits be defined:

a = exit 5 to 6

b = exit 6 to 7

c = exit 7 to 8

Then the given relations are ...

a = 3.2

b = 1.1 +a = 4.3

(b +c) = 2.4 +(a +b) ⇒ c = a +2.4 = 5.6

The distance between exits 7 and 8 is 5.6 miles.