Ferdinand

Ferdinand went from place A to place B and from there to place C. A is 7.2 km from B and B is 11.7 km from C. Albert went from place A to place D and from there to place C. D is 9.1 km from A and C is 10.8 km from D. Who traveled more and by how much?

Result

x = (Correct answer is: A)
d =  1 km

Step-by-step explanation:

$$\begin{gathered} AB=7.2\text{ km } \\ BC=11.7\text{ km } \\ F=AB+BC=7.2+11.7={\displaystyle \frac{189}{10}}=18\frac{9}{10}=18.9\text{ km } \\ AD=9.1\text{ km } \\ DC=10.8\text{ km } \\ A=AD+DC=9.1+10.8={\displaystyle \frac{199}{10}}=19\frac{9}{10}=19.9\text{ km } \\ A>F \\ x=A \end{gathered}$$

$d=\mathrm{\mid }A-F\mathrm{\mid }=\mathrm{\mid }19.9-18.9\mathrm{\mid }=1\text{ km}$

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