document.write( "Question 419037: The speed of a boat in still water is 5 miles per hour. If the boat travels 3 miles downstream in the same amount of time it takes to travel 1.5 miles upstream, what is the speed of the current? \n" ); document.write( "

Algebra.Com's Answer #853229 by ikleyn(53427) $\"\"$ $\"About$

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\n" ); document.write( "The speed of a boat in still water is 5 miles per hour. If the boat travels 3 miles downstream
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\n" ); document.write( "\n" ); document.write( " The solution and the answer in the post by @mananth both are incorrect.\r
\n" ); document.write( "\n" ); document.write( " I came to bring a correct solution.\r
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document.write( "Let x be the speed of the current.\r\n" );
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document.write( "The time equation is\r\n" );
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document.write( "     = .\r\n" );
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document.write( "To solve, cross multiply and then simplify\r\n" );
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document.write( "    3*(5-x) = 1.5*(5+x),\r\n" );
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document.write( "    15 - 3x = 7.5 + 1.5x,\r\n" );
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document.write( "    15 - 7.5 = 3x + 1.5x,\r\n" );
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document.write( "       7.5   =    4.5x\r\n" );
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document.write( "         x   =  7.5/4.5 = 5/3.\r\n" );
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document.write( "ANSWER.  The speed of the current is  5/3 miles per hour.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
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