document.write( "Question 1022734: When a boy use toy to shovel to help his mother the driveway the job take 4 hours if the boy were alone it would take him 4 times longer than it would his mother ..how long would it take the boy's mother to shovel the driveway alone ? \n" ); document.write( "

Algebra.Com's Answer #638381 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+R%5B1%5D+\"$ = the mother's rate of shoveling in
\n" ); document.write( "[ driveways ] / [ hr ]
\n" ); document.write( " $\"+R%5B1%5D%2F4+\"$ = the son's rate of shoveling in
\n" ); document.write( "[ driveways ] / [ hr ]
\n" ); document.write( " $\"+1%2F4+\"$ = their rate shoveling together
\n" ); document.write( "[ 1 driveway ] / [ 4 hrs ]
\n" ); document.write( "---------------------
\n" ); document.write( "Add their rates of shoveling to get their rate
\n" ); document.write( "of shoveling together
\n" ); document.write( " $\"+R%5B1%5D+%2B+R%5B1%5D%2F4+=+1%2F4+\"$
\n" ); document.write( " $\"+4R%5B1%5D+%2B+R%5B1%5D+=+1+\"$
\n" ); document.write( " $\"+5R%5B1%5D+=+1+\"$
\n" ); document.write( " $\"+R%5B1%5D+=+1%2F5+\"$
\n" ); document.write( "It would take the mother 5 hrs to shovel alone
\n" ); document.write( "-------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+R%5B1%5D+%2F+4+=+%281%2F5%29+%2F+4+\"$
\n" ); document.write( " $\"+R%5B1%5D+%2F+4+=+1%2F20+\"$
\n" ); document.write( "Her son would take 20 hrs shoveling alone
\n" ); document.write( " $\"+R%5B1%5D+%2B+R%5B1%5D%2F4+=+1%2F4+\"$
\n" ); document.write( " $\"+1%2F5+%2B+1%2F20+=+1%2F4+\"$
\n" ); document.write( " $\"+4%2F20+%2B+1%2F20+=+5%2F20+\"$
\n" ); document.write( " $\"+5%2F20+=+5%2F20+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );