Respuesta :
Answer:
time = distance / speed
time = (5 1/5) / (8 2/3)
time = (26/5) / (26/3)
= 26/5 * 3/26
= 3/5 of an hr <===
Step-by-step explanation:
since the object is traveling at 9⅘ mi/h, meaning is doing 9⅘ miles in 1 hour, how long will it be for 5⅕?
[tex]\bf \begin{array}{ccll} miles&hours\\ \cline{1-2} 9\frac{4}{5}&1\\\\ 5\frac{1}{5}&x \end{array}\implies \cfrac{9\frac{4}{5}}{5\frac{1}{5}}=\cfrac{1}{x}\implies \cfrac{~~\frac{49}{5}~~}{\frac{26}{5}}=\cfrac{1}{x}\implies \cfrac{49}{~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{26}=\cfrac{1}{x}[/tex]
[tex]\bf \cfrac{49}{26}=\cfrac{1}{x}\implies 49x=26\implies x = \cfrac{26}{49}~~\leftarrow \textit{about 31 minutes and 50 seconds}[/tex]
