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lapo4ka [179]
3 years ago
15

a boat on the Potomac River travels the same distance downstream in 2/3 hour as it does going upstream in 1 hour. If the speed o

f the current is 3 mph, find the speed of the boat in still water
Mathematics
1 answer:
lord [1]3 years ago
7 0
\bf \begin{array}{ccccllll}
&distance&rate&time(hrs)\\
&-----&-----&-----\\
upstream&d&r-3&\frac{2}{3}
\\\\
downstream&d&r+3&1
\end{array}\\\\
-----------------------------\\\\
thus\qquad 
\begin{cases}
d=(r-3)\frac{2}{3}
\\\\
d=(r+3)1
\end{cases}\qquad d=d\qquad thus
\\\\\\
(r-3)\cfrac{2}{3}=(r+3)1

notice, the distance is the same, upstream or downstream, thus is "d" for both

solve for "r"
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