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Zielflug [23.3K]

3 years ago

10

A motorboat traveling with a current can go 120 km in 4 hours. Against the current, it takes 6 hours to go the same distance. Fi

nd the speed of the motorboat and speed of the current.

1 answer:

Gnesinka [82]3 years ago

8 0

180 is the speed of the motorboat. I don't know the speed of the current.

........................................

120÷4=30

30×6=180

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We solve the question as follows:
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Thus given:
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which of the following gives an equation of a line that passes through the point (6 over 5, -19 over 5) and is parallel to the l

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One equation for this would be

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We start by finding the slope between the two points:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-12-\frac{-19}{5}}{-2-\frac{6}{5}}
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\\=(-12+\frac{19}{5}) \div (-2-\frac{6}{5})
\\
\\=(\frac{-60}{5}+\frac{19}{5}) \div (\frac{-10}{5}-\frac{6}{5})
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\\=\frac{-41}{5} \div \frac{-16}{5}=\frac{-41}{5} \times \frac{-5}{16}=\frac{41}{16}$

A line parallel to this one will have the same slope. We will use point-slope form to write our equation:

$y-y_1=m(x-x_1)
\\
\\y-\frac{-19}{5}=\frac{41}{16}(x-\frac{6}{5})
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\\y+\frac{19}{5}=\frac{41}{16}x- \frac{41}{16} \times \frac{6}{5}
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\\
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Answer:

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