document.write( "Question 1154291: A motorboat travels 156 kilometers in 6 hours going upstream. It travels 252 kilometers going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current? \n" ); document.write( "

Algebra.Com's Answer #776690 by josgarithmetic(39617) $\"\"$ $\"About$

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U=156 kilometers
\n" ); document.write( "D=252 kilometers
\n" ); document.write( "T=6 hours
\n" ); document.write( "r, unknown boat speed in still water
\n" ); document.write( "c, unknown speed of the stream\r
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "            SPEED       TIME       DISTANCE\r\n" );
document.write( "\r\n" );
document.write( "UP             r-c       T            U\r\n" );
document.write( "\r\n" );
document.write( "DOWN           r+c       T            D\r\n" );
document.write( "

\n" ); document.write( " $\"system%28r-c=U%2FT%2Cr%2Bc=D%2FT%29\"$ \r
\n" ); document.write( "\n" ); document.write( "-\r
\n" ); document.write( "\n" ); document.write( " $\"ADD\"$ :
\n" ); document.write( " $\"2r=%28U%2BD%29%2FT\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28r=%28U%2BD%29%2F%282T%29%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"SUBTRACT\"$ :
\n" ); document.write( " $\"2c=%28D-U%29%2FT\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28c=%28D-U%29%2F%282T%29%29\"$ \n" ); document.write( "

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