The distance between Exit 14 and Exit 15 is 9.5 miles
Step-by-step explanation:
Exits on an interstate are numbered consecutively
The given is:
1. The distance between Exit 12 and Exit 13 is 2.7 miles
2. The distance between Exit 13 and Exit 14 is 0.9 mile farther than the
distance between Exit 12 and Exit 13
3.The distance between Exit 13 and Exit 15 is 6.8 miles farther than the
distance between Exit 12 and Exit 14
We need to find the distance between Exit 14 and Exit 15
∵ The distance between Exit 12 and Exit 13 is 2.7 miles
∵ The distance between Exit 13 and Exit 14 is 0.9 mile farther than the
distance between Exit 12 and Exit 13
∴ The distance between Exit 13 and Exit 14 = 2.7 + 0.9 = 3.6 miles
Assume that the distance between Exit 14 and Exit 15 is x
∵ The distance between Exit 12 and Exit 14 = 2.7 + 3.6 = 6.3 miles
∵ The distance between Exit 13 and Exit 15 = 3.6 + x miles
∵ The distance between Exit 13 and Exit 15 is 6.8 miles farther than the
distance between Exit 12 and Exit 14
∴ 3.6 + x = 6.3 + 6.8
∴ 3.6 + x = 13.1
- Subtract 3.6 from both sides
∴ x = 9.5 miles
<em>The distance between Exit 14 and Exit 15 is 9.5 miles</em>
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