document.write( "Question 1187161: A man travels at 4km/h in still water. If the speed of water current is 1 km/h.It takes 4 hours to reach the place and come back.How far is the place? \n" ); document.write( "

Algebra.Com's Answer #818090 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "A man travels at 4km/h in still water. If the speed of water current is 1 km/h.
\n" ); document.write( "It takes 4 hours to reach the place and come back. How far is the place?
\n" ); document.write( "~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "The effective speed traveling downstream is 4 km/h + 1 km/h = 5 km/h;\r\n" );
document.write( "\r\n" );
document.write( "The effective speed traveling   upstream is 4 km/h - 1 km/h = 3 km/h.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Let d be the one way distance, in kilometers.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The travel time downstream is    hours;  upstream    hours.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The total time is 4 hours, giving the \"time\" equation\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     +  = 4.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To solve it, multiply both sides by 5*3 = 15.  You will get then\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    3d + 5d = 4*15\r\n" );
document.write( "\r\n" );
document.write( "      8d    = 60\r\n" );
document.write( "\r\n" );
document.write( "       d    = 60/8 = 7.5 kilometers.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  One way distance is 7.5 kilometers.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.    +  = 1.5 + 2.5 = 4 hours.    ! Correct !\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" );