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Vladimir79 [104]
2 years ago
7

A small motorboat travels 12mph in still water. It takes 2 hours longer to travel 46 miles going upstream than it does going dow

nstream. Find the rate of the current
Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
4 0

Using the relation between velocity, distance and time, it is found that the rate of the current is of 3.33 mph.

<h3>What is the relation between velocity, distance and time?</h3>

Velocity is distance divided by time, hence:

v = d/t

A small motorboat travels 12mph in still water. With the current, upstream, 46 miles are traveled in t hours, hence:

12 + r = 46/t

r = 46/t - 12

Downstream, the time is of t + 2 hours, hence:

12 - r = 46/(t + 2)

r = 12 - 46/(t + 2)

Hence, equaling the values for r:

46/t - 12 = 12 - 46/(t + 2)

46/t + 46/(t + 2) = 24

\frac{46t + 92 + 46t}{t(t + 2)} = 24

92t + 92 = 24t² + 48t

24t² - 44t - 92 = 0

Using a quadratic equation calculator, the solution is t = 3. Hence the rate is found as follows:

r = 46/t - 12 = 46/3 - 12 = 3.33 mph.

More can be learned about the relation between velocity, distance and time at brainly.com/question/28155966

#SPJ1

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Step-by-step explanation:l

Given:

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5 0
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Solve for y.
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Answer:

y=−1/7

for the picture is y=-57/7

Step-by-step explanation:

<h3>1. 8= -7y +7</h3>

Switch:sides

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subtract 7 from both sides

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divide both sides by -7

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<h3>2.so for 8/y+7=-7</h3>

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8/y+7(y+7)=-7(y+7)

simplify 8=-7(y+7)

flip

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