document.write( "Question 1136004: Devin went to the park traveling 8 mph and returned home traveling 16 mph. If the total trip took 6 hours, how long did Devin travel at each speed? \n" ); document.write( "

Algebra.Com's Answer #753751 by ikleyn(52864) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "Let \"t\" be the time traveling at the speed of 8 mph.\r\n" );
document.write( "\r\n" );
document.write( "Then the time traveling at 16 mph is (6-t) hours.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The distance traveled in each direction is the same; it gives you an equation\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "8t = 16*(6-t).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve it for t:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "8t = 16*6 - 16t\r\n" );
document.write( "\r\n" );
document.write( "8t + 16t = 96\r\n" );
document.write( "\r\n" );
document.write( "24t = 96    =======>     t = 96/24 = 4 hours traveling at 8 mph.   ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The rest  6 - 4 = 2 hours traveling at 16 mph.    ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "---------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You also can notice that for every 2 hours traveling at 8 mph, should be 1 hour traveling at 16 mph.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "As soon as you notice it, you can solve the problem mentally, without using equations.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Happy learning !\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );