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luda_lava [24]
3 years ago
13

A motorboat takes five hours to travel two hundred miles going upstream. The return trip takes four hours going down stream. Wha

t is the rate of the boat in Stillwater and what is the rate of the current?
Mathematics
1 answer:
Yuri [45]3 years ago
8 0

Answer: 45\ mph,  5\ mph

Step-by-step explanation:

Given

A motorboat takes 5 hours to travel 200 miles upstream and 4 hours to go downstream

Suppose the speed of motorboat in still water and rate of current be x and y respectively.

during upstream

\Rightarrow 5=\dfrac{200}{x-y}\\\\\Rightarrow x-y=40\quad \ldots(i)

During downstream

\Rightarrow 4=\dfrac{200}{x+y}\\\\\Rightarrow x+y=50\quad \ldots(ii)

Add (i) and (ii) we get

\Rightarrow 2x=90\\\Rightarrow x=45\ mph

\therefore y=5\ mph

Thus, the speed of boat in still water is 45\ mph and rate of current is 5\ mph

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Answer:

ok I got you

Step-by-step explanation:

2+2=3x

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or, 4/3x

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3 years ago
PLZ HELP THANKS! Find the equation of the line passing through the pair points (-8,6) (-9,-9). The equation of the line in the f
timurjin [86]

Answer:

The answer is

<h2>15x - y = - 126</h2>

Step-by-step explanation:

To find the equation of the line we must first find the slope (m)

m =  \frac{y2 - y1 }{x2 - x1}

So the slope of the line using points

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So the equation of the line using point (-8,6) and slope 15 is

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Writing the equation in the form

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The final answer is

<h3>15x - y = - 126</h3>

Hope this helps you

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Answer:

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Step-by-step explanation:

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svetoff [14.1K]

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