document.write( "Question 511623: Jack usually mows his lawn in 5 hours. Maria can mow the same yard in 3 hours. How long will it take for them to mow the lawn together? \n" ); document.write( "

Algebra.Com's Answer #342315 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"t\"$ = the time for them
\n" ); document.write( "to mow 1 lawn working together
\n" ); document.write( "Jack's rate of mowing:
\n" ); document.write( "( 1 lawn ) / ( 5 hours )
\n" ); document.write( "Maria's rate:
\n" ); document.write( "{ 1 lawn ) / ( 3 hours )
\n" ); document.write( "Add their rates of working:
\n" ); document.write( " $\"+1%2F5+%2B+1%2F3+=+1%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+13t+\"$
\n" ); document.write( " $\"+3t+%2B+5t+=+15+\"$
\n" ); document.write( " $\"+8t+=+15+\"$
\n" ); document.write( " $\"+t+=+15%2F8+\"$
\n" ); document.write( "This is 1 hour + 7/8 of an hour
\n" ); document.write( " $\"+%287%2F8%29%2A60+=+52.5+\"$
\n" ); document.write( "It takes them 1 hr and 52.5 min \n" ); document.write( "

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