document.write( "Question 94604: Marie can eat a cake in 10 minutes. Anne joins her after 3 minutes. Together they eat the rest of the cake in 4 minutes. How long would it take Anne to eat the cake alone? \n" ); document.write( "
Algebra.Com's Answer #68908 by stanbon(75887)\"\" \"About 
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Marie can eat a cake in 10 minutes. Anne joins her after 3 minutes. Together they eat the rest of the cake in 4 minutes. How long would it take Anne to eat the cake alone?
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\n" ); document.write( "Marie DATA:
\n" ); document.write( "Time = 10 minutes/job ; Rate = 1/10 job/min
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\n" ); document.write( "Anne DATA:
\n" ); document.write( "Time = x minutes/job ; Rate = 1/x job/min
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\n" ); document.write( "EQUATION:
\n" ); document.write( "Anne joins her after 3 minutes and together they eat the rest of the
\n" ); document.write( "cake in 4 minutes.\r
\n" ); document.write( "\n" ); document.write( "In 3 minutes Marie will have completed (3/10)ths of the job.
\n" ); document.write( "They then eat the remaining (7/10)th together in 4 minutes.
\n" ); document.write( "(4minutes)[(1/10)+(1/x)](job/minute) = 7/10 job
\n" ); document.write( "4[[(x+10)/10x] = 7/10
\n" ); document.write( "4(x+10)/x) = 7
\n" ); document.write( "4(x+10) = 7x
\n" ); document.write( "3x=40
\n" ); document.write( "x= 13 1/3 minutes (Anne's time alone to do the job)\r
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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