document.write( "Question 1200510: A motorboat can maintain a constant speed of 34 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 35 minutes; the return trip takes 33 minutes. What is the speed of the current? \n" ); document.write( "

Algebra.Com's Answer #834656 by ikleyn(52798) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "A motorboat can maintain a constant speed of 34 miles per hour relative to the water.
\n" ); document.write( "The boat makes a trip upstream to a certain point in 35 minutes;
\n" ); document.write( "the return trip takes 33 minutes. What is the speed of the current?
\n" ); document.write( "~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let \"c\" be the speed of the current, in miles per hour.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then the rate of the boat moving upstream   is (34-c) miles per hour;\r\n" );
document.write( "\r\n" );
document.write( "     the rate of the boat moving downstream is (34+c) miles per hour.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The distance of both trips is the same, so we write the distance equation\r\n" );
document.write( "\r\n" );
document.write( "     = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Multiply both sides by 60 and simplify\r\n" );
document.write( "\r\n" );
document.write( "    (34-c)*35     = (34+c)*33\r\n" );
document.write( "\r\n" );
document.write( "    34*35 - 35c   = 34*33 + 33c\r\n" );
document.write( "\r\n" );
document.write( "    34*35 - 34*33 = 33c + 35c\r\n" );
document.write( "\r\n" );
document.write( "      34*(35-33)  =    68c\r\n" );
document.write( "\r\n" );
document.write( "         34*2     =    68c\r\n" );
document.write( "\r\n" );
document.write( "           c      =     =  = 1.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The speed of the current is 1 mile per hour.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );