document.write( "Question 1079286: Adam, Brenda, and Carl are running a relay race. Carl runs 1 yard per second slower
\n" ); document.write( "than Adam and Brenda runs 10% faster than Adam. They each run for 10 seconds and they
\n" ); document.write( "run a total of 145 yards. How fast does each run? \n" ); document.write( "

Algebra.Com's Answer #693609 by ikleyn(52839) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Adam, Brenda, and Carl are running a relay race. Carl runs 1 yard per second slower
\n" ); document.write( "than Adam and Brenda runs 10% faster than Adam. They each run for 10 seconds and they
\n" ); document.write( "run a total of 145 yards. How fast does each run?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let A = rate of Adam, in yards per second.\r\n" );
document.write( "\r\n" );
document.write( "Then the Carl's rate is (A-1) yards per second, while Brenda's rate is 1.1A yerds per second.\r\n" );
document.write( "\r\n" );
document.write( "In 10 seconds Adam   runs 10A yards,\r\n" );
document.write( "              Brenda runs 10*1.1A yards,\r\n" );
document.write( "              Carl   runs 10*(A-1) yards.\r\n" );
document.write( "\r\n" );
document.write( "In total,\r\n" );
document.write( "\r\n" );
document.write( "10A + 10*1.1A + 10*(A-1) = 145.\r\n" );
document.write( "\r\n" );
document.write( "Simplify:\r\n" );
document.write( "\r\n" );
document.write( "10A + 11A + 10A - 10 = 145,\r\n" );
document.write( "\r\n" );
document.write( "31A = 145 + 10,\r\n" );
document.write( "\r\n" );
document.write( "31A = 155.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Solve for A and then complete the solution on your own.\r\n" );
document.write( "

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

\n" );