Question

Four cities lie along a straight highway in the order: City A, City B, City C, and City D. The distance from City A to City B is 5 times the distance from City B to City C. The distance from City A to City D is 2 times the distance from City A to City B. Use the chart to help guide your thoughts as you find this distances/milage between each city. Please do not label your distances in miles. Just enter the milage amount.

Answer 1

Answer on Question #80307 – Math – Geometry

Question

Four cities lie along a straight highway in the order: City $A$, City $B$, City $C$, and City $D$. The distance from City $A$ to City $B$ is 5 times the distance from City $B$ to City $C$. The distance from City $A$ to City $D$ is 2 times the distance from City $A$ to City $B$. Use the chart to help guide your thoughts as you find this distance/milage between each city. Please do not label your distances in miles. Just enter the milage amount.

Solution

$BC$ is the shortest distance. If $BC = x$, then $AB = 5x$, $AD = 10x$.

$$CD = AD - AB - BC = 4x.$$

Answer: $AB = 5x$, $BC = x$, $CD = 4x$.

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