document.write( "Question 157157: Jack usually mows his lawn in 6 hours. Marilyn can mow the same yard in 7 hours. How much time would it take for them to mow the lawn together. (simplify your answerr. Type an integer, proper fraction or mixed number) \n" ); document.write( "
Algebra.Com's Answer #115846 by ptaylor(2198) You can put this solution on YOUR website! \n" ); document.write( "Let x=amount of time it takes them both working together to mow the yard \n" ); document.write( "Jack mows at the rate of 1/6 yard per hour \n" ); document.write( "Marilyn mows at the rate of 1/7 yard per hour \n" ); document.write( "Together they mow at the rate of 1/6 +1/7 or 7/42 + 6/42=13/42 yard per hour \n" ); document.write( "So, our equation to solve is: \n" ); document.write( "(13/42)*x=1 (1 yard, that is) multiply each side by 42 \n" ); document.write( "13x=42 divide each side by 13 \n" ); document.write( "x=42/13 or 3 3/13 hour \r \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "(1/6)(42/13)=7/13 \n" ); document.write( "(1/7)(42/13)=6/13 \n" ); document.write( "7/13 + 6/13=13/13 or 1 yard\r \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " \n" ); document.write( " |