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Zepler [3.9K]
4 years ago
12

Can you answer this asap plz

Social Studies
1 answer:
Olin [163]4 years ago
3 0

Answer:all the above

Explanation:

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A tourist sailed against the current on a river for 6 km, and then he sailed in a lake for 15 km. In the lake, he sailed for 1 h
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So hmm the distances are clearly 6km and 15km anyway

so hmmm alrite.. recall your d = rt, or distance = rate * time

if the rate of speed of the tourist's boat is say "r", on the river, against the stream, is not going to be "r" but we have to subtract the river's speed, since we know is "2", thus the speed of the boat is " r - 2"

now, off he goes on the lake, however, the lake is just still water, so, on still water, his speed is indeed just "r"

if he sailed "t" time in the river, on the lake was 1 extra hour, or " t + 1 "

thus   \bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
\textit{upstream at the river}&6&r-2&t\\
\textit{on the lake}&15&r&t+1
\end{array}
\\\\\\

\begin{cases}
6=t(r-2)\implies \frac{6}{r-2}=\boxed{t}\\\\
15=r(t+1)\\
----------\\
15=r\left( \boxed{\frac{6}{r-2}}+1 \right)
\end{cases}

solve for "r"
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