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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.

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sqdancefan

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Answer:

  5.6 miles

Step-by-step 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.

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