document.write( "Question 883383: Pedro can do a piece work in 4 days,while Alan can do a piece of work in 5 days. In how many days can both finish the work, if they work together? \n" ); document.write( "
Algebra.Com's Answer #533458 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Pedro can do a piece work in 4 days,
\n" ); document.write( "
\r\n" );
document.write( "So Pedro's rate is \"matrix%281%2C2%2C1%2Cjob%29%2Fmatrix%281%2C2%2C4%2Cdays%29\"\"%22%22=%22%22\"\"matrix%281%2C2%2C1%2F4%2Cjob%2F%28day%29%29\"\r\n" );
document.write( "

\n" ); document.write( "while Alan can do a piece of work in 5 days,
\n" ); document.write( "
\r\n" );
document.write( "So Alan's rate is \"matrix%281%2C2%2C1%2Cjob%29%2Fmatrix%281%2C2%2C5%2Cdays%29\"\"%22%22=%22%22\"\"matrix%281%2C2%2C1%2F5%2Cjob%2F%28day%29%29\"\r\n" );
document.write( "

\n" ); document.write( "In how many days can both finish the work, if they work together?
\n" ); document.write( "
\r\n" );
document.write( "Let that be x days.\r\n" );
document.write( "\r\n" );
document.write( "So their combined rate is \"matrix%281%2C2%2C1%2Cjob%29%2Fmatrix%281%2C2%2Cx%2Cdays%29\"\"%22%22=%22%22\"\"matrix%281%2C2%2C1%2Fx%2Cjob%2F%28day%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "The equation comes from:\r\n" );
document.write( "\r\n" );
document.write( "\"%28matrix%283%2C1%2C%22Pedro%27s%22%2Cwork%2C+rate%29%29\"\"%22%22%2B%22%22\"\"%28matrix%283%2C1%2C%22Alan%27s%22%2Cwork%2Crate%29%29\" \"%22%22=%22%22\" \"%28matrix%284%2C1%2Ctheir%2Ccombined%2Cwork%2C+rate%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C2%2C1%2F4%2Cjob%2F%28day%29%29\"\"%22%22%2B%22%22\"\"matrix%281%2C2%2C1%2F5%2Cjob%2F%28day%29%29\" \"%22%22=%22%22\" \"matrix%281%2C2%2C1%2Fx%2Cjob%2F%28day%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"1%2F4\"\"%22%22%2B%22%22\"\"1%2F5\" \"%22%22=%22%22\" \"1%2Fx\"\r\n" );
document.write( "\r\n" );
document.write( "Multiply through by LCD of 20x\r\n" );
document.write( "\r\n" );
document.write( "5x + 4x = 20\r\n" );
document.write( "     9x = 20\r\n" );
document.write( "      x = \"20%2F9\" or \"2%262%2F9\" days\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );