document.write( "Question 253758: Mark and Bert together can finish the job in 4 hours. How fast can Bert finish the job alone if Mark can finish it in 9 hours? \n" ); document.write( "
Algebra.Com's Answer #186098 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=amount of time Bert needs to finish the job working alone \n" ); document.write( "Then Bert works at the rate of 1/x job per hour \n" ); document.write( "And Mark works at the rate of 1/9 job per hour \n" ); document.write( "Mark and Bert together work at the rate of 1/4 job per hour \n" ); document.write( "So, our equation to solve is: \n" ); document.write( "1/x + 1/9 = 1/4 multiply each term by 36x \n" ); document.write( "36+4x=9x subtract 4x from each side \n" ); document.write( "36=5x \n" ); document.write( "x=7 1/5 = 36/5 hours\r \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "1/(36/5)+1/9=1/4 \n" ); document.write( "5/36 +4/36 =1/4 \n" ); document.write( "9/36=1/4 \n" ); document.write( "1/4=1/4 \n" ); document.write( "Hope this helps--ptaylor \n" ); document.write( " |