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On a windy day William Kunz found that he could go 16 mi downstream and then 4 mi back upstream at top speed in a total of 48 min. What was the top speed of William's boat if the rate of the current was $15 \mathrm{mph} ?$

$25 \mathrm{mph}$

Precalculus

Algebra

Chapter 11

Quadratic Equations, Inequalities, and Functions

Section 4

Equations Quadratic in Form

Introduction to Conic Sections

Equations and Inequalities

Functions

Polynomials

Oregon State University

McMaster University

University of Michigan - Ann Arbor

Idaho State University

Lectures

01:43

In mathematics, a function…

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00:56

Howie Sorkin can travel 8 …

01:35

A boat travels at $16 \mat…

00:37

Boating A boat is travelin…

02:31

It takes a boat 2 hr to tr…

01:15

Suppose you have a powerbo…

02:10

Boating. A man can drive a…

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Boating. It takes 6 hours …

Kayaking. A kayaker can t…

01:25

A boat can travel 12 mi do…

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02:09

A boat made a 4-mile trip …

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After sailing $15 \mathrm{…

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A motorboat can maintain a…

04:48

The speed of a boat in sti…

01:49

A motorboat heads upstream…

01:28

A current flows at 5 mpt. …

01:07

Motion. Christopher's…

02:25

A rowing team trains on th…

02:02

Traveling Upstream. $\quad…

Shoreline Travel operates …

So in this question how we can go eight miles upstream so he is working against the current. Um his boat goes 15 miles and he's going against the current. If he's going downstream, he can go 12 miles because now he's working with the current. So cross multiplying here will give me eight times 15 which is 100 and 20 plus eight. X equals 180 minus 12 x. And so that's just my cross multiplying there. Adding, The 12 over gives you 20 x. It's attracting the 1 20 gives you 60 and we can tell here that the rate of the current in this case, um, we're talking about MPH, and so my current is three MPH.

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