Question

An object is traveling at a steady speed of 9 4/5 mi/h. How long will it take the object to travel 5 1/5 mi?

Answer 1

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:

Answer 2

since the object is traveling at 9⅘ mi/h, meaning is doing 9⅘ miles in 1 hour, how long will it be for 5⅕?

$\bf \begin{array}{ccll} miles&hours\\ \cline{1-2} 9\frac{4}{5}&1\\\\ 5\frac{1}{5}&x \end{array}\implies \cfrac{9\frac{4}{5}}{5\frac{1}{5}}=\cfrac{1}{x}\implies \cfrac{~~\frac{49}{5}~~}{\frac{26}{5}}=\cfrac{1}{x}\implies \cfrac{49}{~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{26}=\cfrac{1}{x}$

$\bf \cfrac{49}{26}=\cfrac{1}{x}\implies 49x=26\implies x = \cfrac{26}{49}~~\leftarrow \textit{about 31 minutes and 50 seconds}$