Mathematics, 09.07.2019 04:20 chancler
Atour boat left the dock and traveled west at an average speed of 10 mph. a smaller fishing boat left some time later traveling in the same direction but at an average speed of 12 mph. after traveling for 10 hours, the fishing boat caught up to the tour boat. the tour boat left hours earlier than the fishing boat.
Answers: 2
![\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{Tour boat}&d&10&10+h\\ \textit{Fishing boat}&d&12&10 \end{array}~\hfill \begin{cases} d=(10)(10+h)\\ d=(12)(10) \end{cases} \\\\[-0.35em] ~\dotfill](/tpl/images/0068/0983/04dbf.png)
![\bf \stackrel{\textit{doing substitution on the 2nd equation}~\hfill }{(10)(10+h)=(12)(10)\implies \cfrac{~~\begin{matrix} (10) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(10+h)}{~~\begin{matrix} 10 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}=12} \\\\\\ 10+h=12\implies h=2](/tpl/images/0068/0983/a5ea5.png)
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Atour boat left the dock and traveled west at an average speed of 10 mph. a smaller fishing boat lef...
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