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-Because of the Increase in Traffic Between Springfield and Orangeville

Question 162

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-Because of the increase in traffic between Springfield and Orangeville, a new road was built to connect the two towns. The old road goes south xx miles from Springfield to Freeport and then goes east x+3x + 3 miles from Freeport to Orangeville. The new road is 9 miles long and goes straight from Springfield to Orangeville. Find the number of miles that a person saves by driving the new road over the old one.
 Solve. -Because of the increase in traffic between Springfield and Orangeville, a new road was built to connect the two towns. The old road goes south  x  miles from Springfield to Freeport and then goes east  x + 3  miles from Freeport to Orangeville. The new road is 9 miles long and goes straight from Springfield to Orangeville. Find the number of miles that a person saves by driving the new road over the old one.    A)    \frac{3}{2}+\frac{3 \sqrt{17}}{2}   miles B)    -\frac{3}{2}+\frac{3 \sqrt{17}}{2}   miles C)    3 \sqrt{17}-9   miles D)    3 \sqrt{17}+9   miles


A) 32+3172 \frac{3}{2}+\frac{3 \sqrt{17}}{2} miles
B) 32+3172 -\frac{3}{2}+\frac{3 \sqrt{17}}{2} miles
C) 3179 3 \sqrt{17}-9 miles
D) 317+9 3 \sqrt{17}+9 miles

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