an object is traveling at a steady speed of 10 1/10 mi/h. How long will it take the object to travel 4 9/10mi?

notice, the object is covering in 1 hour, 10 and 1/10 miles, thus

[tex]\bf \begin{array}{ccll} miles&hours\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 10\frac{1}{10}&1\\\\ 4\frac{9}{10}&h \end{array}\implies \cfrac{10\frac{1}{10}}{4\frac{9}{10}}=\cfrac{1}{h}\implies \cfrac{\frac{10\cdot 10+1}{10}}{\frac{4\cdot 10+9}{10}}=\cfrac{1}{h}[/tex]

[tex]\bf \cfrac{\quad\frac{101}{10} \quad }{\frac{49}{10}}=\cfrac{1}{h}\implies \cfrac{101}{10}\cdot \cfrac{10}{49}=\cfrac{1}{h}\implies \cfrac{1010}{490}=\cfrac{1}{h}\implies 1010h=490 \\\\\\ h=\cfrac{490}{1010}\qquad \qquad \textit{about 29 minutes and 6 and a half seconds}[/tex]