document.write( "Question 1193704: Miguel works 1.5 times faster than Maria. Together, they do a job in 7.5 hours. How long does it take Maria working alone to do the same job?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #825742 by ikleyn(52814) $\"\"$ $\"About$

You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I read your post this way\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "    Miguel works 1.5 times      Maria. Together, they do a job in 7.5 hours. \r\n" );
document.write( "    How long does it take Maria working alone to do the same job?\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The other form, which you use in your post, is ambiguous in English and may lead to more than one interpretations.
\n" ); document.write( "THEREFORE, that form is not recommended to use in Math problems for English speakers/readers.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let x be Maria's rate of work (in jobs per hour)\r\n" );
document.write( "\r\n" );
document.write( "Then Miguel's rate of work is 1.5x jobs per hour.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Their combined rate of work is the sum  x + 1.5x = 2.5x jobs per hour.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It means that  2.5x = ,  or  x =  =  =   jobs per hour.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence, Maria needs   = 18 hours = 18 hours and 45 minutes to do the job alone.    ANSWER\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( "///////////////\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In English, this phrase\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "    \"Miguel works 1.5 times faster than Maria. \"\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "works differently than its analogues in other languages.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It works differently, its meaning is different, it carries different meaning and it is understood differently.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Newcomers usually don't know about it . . . until somebody will explain them . . . \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );