document.write( "Question 1152968: Mark made a business trip of 236 miles.He averaged 58mphfor the first part of the trip and 60mph for the second part.If the trip took 4 hours, how long did he travel at each rate?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #775109 by ikleyn(52811) $\"\"$ $\"About$

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

\r\n" );
document.write( "\r\n" );
document.write( "This question \"how long did he travel at each rate?\" may relate to the distance and/or to the time.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Since it is not precisely determined in the post, I will assume that it relates to times.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Let \"t\" be the time spent traveling the first part.\r\n" );
document.write( "\r\n" );
document.write( "Then the time traveling second part is  (4-t) hours.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You have this single equation to find \"t\"\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    58*t + 60*(4-t) = 236  miles   (total distance)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From the equation\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    58*t - 60*t = 236 - 60*4\r\n" );
document.write( "\r\n" );
document.write( "    -2t         = - 4\r\n" );
document.write( "\r\n" );
document.write( "      t         =  = 2.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  2 hours for the first part and 2 hours for the second part.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.  2*58 + 2*60 = 236 miles.    ! Precisely 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" );