document.write( "Question 388652: 19. A motorboat can go 16 miles downstream on a river in 20 minutes. It takes 30 minutes for this boat to go back upstream the same 16 miles.Let x = the speed of the boat.
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document.write( "Let y = the speed of the current.\r
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document.write( "a. Write an equation for the motion of the motorboat downstream.
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document.write( "b. Write an equation for the motion of the motorboat upstream.
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document.write( "c. Find the speed of the current. \r
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Algebra.Com's Answer #275006 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A motorboat can go 16 miles downstream on a river in 20 minutes. It takes 30 minutes for this boat to go back upstream the same 16 miles. \n" ); document.write( "Let x = the speed of the boat. \n" ); document.write( "Let y = the speed of the current. \r \n" ); document.write( "\n" ); document.write( "a. Write an equation for the motion of the motorboat downstream. \n" ); document.write( "x+y = 16/(1/5) = 80 mph \n" ); document.write( "b. Write an equation for the motion of the motorboat upstream. \n" ); document.write( "x-y = 16/(1/2) = 32 mph \n" ); document.write( "--- \n" ); document.write( "c. Find the speed of the current. \n" ); document.write( "Subtract and solve for \"y\": \n" ); document.write( "2y = 80-32 \n" ); document.write( "2y = 48 mph \n" ); document.write( "y = 24 mph (rate of the current) \n" ); document.write( "================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |