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Boating. A boat can travel 24 miles downstream in 2 hours and can make the return trip in 3 hours. Find the speed of the boat in still water and the speed of the current.
$$\begin{array}{l}2 V=20 \\V=10 \mathrm{mph} \\v=2 \mathrm{mph}\end{array}$$
Algebra
Chapter 4
Systems of Linear Equations and Inequalities
Section 4
Problem Solving Using Systems of Equations
Equations and Inequalities
Systems of Equations and Inequalities
Missouri State University
McMaster University
University of Michigan - Ann Arbor
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So we have a boat going downstream. Faster, upstream, Slower. So we can go 24 miles. Two hours. This is downstream. Same trip is three hours. But you're going upstream. So 24 miles. Three hours upstream X. Yes, the boat speed. Why is the river speed 24 equals X plus Y times two. You're going faster. See you. Add the river to the boat. Going upstream 24 equals X minus Y times two times three Took three hours anywhere working its butt. The river is working against the boat. I should say I'm gonna divide the top equation by to divide the bottom equation by three 24 Divided by two is 12 so two of equals X plus y 24 divided by three is and so eight equals X minus Y have you two equations together you get 20 equals two X Because the wine is eliminate. Dividing my two you have 10 equals ends using those equations of with the 12 in the eight. You can see that why has to equal to Because 10 plus two is 12 and 10
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