document.write( "Question 993248: A boy can row a boat a constant rate of 5 mi/hr in still water. He rows upstream 28 minutes and then travels downstream returning to his starting point in another 12 minutes. upstream net speed equals 5 - x miles per hourand downstream net speed equals 5 plus x miles per hourfind the right of the current in miles per hour find the total distance traveled in miles \n" ); document.write( "
Algebra.Com's Answer #612557 by josmiceli(19441)\"\" \"About 
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\"+28+\" min
\n" ); document.write( "\"+28%2F60+=+7%2F15+\" hr
\n" ); document.write( "and
\n" ); document.write( "\"+12+\" min
\n" ); document.write( "\"+12%2F60+=+1%2F5+\" hr
\n" ); document.write( "------------------
\n" ); document.write( "Equation for rowing upstream:
\n" ); document.write( "(1) \"+d+=+%28+5+-+x+%29%2A%28+7%2F15+%29+\"
\n" ); document.write( "Equation for rowing downstream:
\n" ); document.write( "(2) \"+d+=+%28+5+%2B+x+%29%2A%28+1%2F5+%29+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) \"+d+=+7%2F3+-+%28+7%2F15+%29%2Ax+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+d+=+1+%2B+%28+1%2F5+%29%2Ax+\"
\n" ); document.write( "------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+7%2F3+-+%28+7%2F15+%29%2Ax+=+1+%2B+%28+1%2F5+%29%2Ax+\"
\n" ); document.write( "Multiply both sides by \"+15+\"
\n" ); document.write( "(2) \"+35+-+7x+=+15+%2B+3x+\"
\n" ); document.write( "(2) \"+10x+=+20+\"
\n" ); document.write( "(2) \"+x+=+2+\"
\n" ); document.write( "----------------
\n" ); document.write( "The speed of the current is 2 mi/hr
\n" ); document.write( "----------------
\n" ); document.write( "(2) \"+d+=+1+%2B+%28+1%2F5+%29%2Ax+\"
\n" ); document.write( "(2) \"+d+=+1+%2B+%28+1%2F5+%29%2A2+\"
\n" ); document.write( "(2) \"+d+=+1.4+\"
\n" ); document.write( "--------------
\n" ); document.write( "The 2-way distance is \"+2%2A1.4+=+2.8+\"
\n" ); document.write( "2.8 mi total distance traveled
\n" ); document.write( "-------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+%28+5+-+x+%29%2A%28+7%2F15+%29+\"
\n" ); document.write( "(1) \"+1.4+=+%28+5+-+2+%29%2A%28+7%2F15+%29+\"
\n" ); document.write( "(1) \"+1.4+=+7%2F5+\"
\n" ); document.write( "(1) \"+1.4+=+1.4+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );