Mathematics, 17.10.2019 00:30 zandariouslee
Petes boat can travel 48 miles upstream in 4 hours. the return trip takes 3 hours. find the speed of the boat in still water and the speed of the current.
Answers: 3
![\bf \begin{cases} b=\textit{rate of the boat}\\ r=\textit{rate of the river} \end{cases}\qquad thus \\\\\\ \begin{array}{lccclll} &distance&rate&time(hrs)\\ &----&----&----\\ upstream&48&b-r&4\\ downstream&48&b+4&3 \end{array} \\\\\\ \begin{cases} 48=(b-r)(4)\to 48=4b-4r\\\\ \frac{48-4b}{-4}=r\\ --------------\\ 48=(b+r)(3)\\ -----------------------------\\\\ thus\\\\ 48=\left[ b+\left(\boxed{\frac{48-4b}{-4}}\right) \right] (3) \end{cases}](/tpl/images/0326/7160/88aa0.png)
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Petes boat can travel 48 miles upstream in 4 hours. the return trip takes 3 hours. find the speed of...
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