document.write( "Question 919307: Three brothers,Michael,Matthew and Mark are tasked to mow a 2000 square meter garden. In 8 hours, Michael, the eldest, can mow 1200 square meters. Matthew can mow 600 square meters and Mark, the youngest ca mow 200 square meters. If they work together for 5 hours, what part of the garden is not mowed?
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Algebra.Com's Answer #557618 by Edwin McCravy(20065)\"\" \"About 
You can put this solution on YOUR website!
Three brothers,Michael,Matthew and Mark are tasked to mow a 2000 square meter garden...
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document.write( "So Michael's mowing rate is 1200 square meters per 8 hours or \r\n" );
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document.write( "\"matrix%281%2C3%2C1200%2Csquare%2Cmeters%29%2Fmatrix%281%2C2%2C8%2Chours%29+\"\"%22%22=%22%22\"\"matrix%281%2C2%2C1200%2F8%2Cmatrix%281%2C2%2Csquare%2Cmeters%29%2Fhour%29\"\"%22%22=%22%22\"\"matrix%281%2C2%2C150%2Cmatrix%281%2C2%2Csquare%2Cmeters%29%2Fhour%29\"\r\n" );
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\n" ); document.write( "In 8 hours...Matthew can mow 600 square meters
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document.write( "So Matthew's mowing rate is 600 square meters per 8 hours or \r\n" );
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document.write( "\"matrix%281%2C3%2C600%2Csquare%2Cmeters%29%2Fmatrix%281%2C2%2C8%2Chours%29+\"\"%22%22=%22%22\"\"matrix%281%2C2%2C600%2F8%2Cmatrix%281%2C2%2Csquare%2Cmeters%29%2Fhour%29\"\"%22%22=%22%22\"\"matrix%281%2C2%2C75%2Cmatrix%281%2C2%2Csquare%2Cmeters%29%2Fhour%29\"\r\n" );
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\n" ); document.write( "In 8 hours...Mark...can mow 200 square meters.
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document.write( "So Mark's mowing rate is 200 square meters per 8 hours or \r\n" );
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document.write( "\"matrix%281%2C3%2C200%2Csquare%2Cmeters%29%2Fmatrix%281%2C2%2C8%2Chours%29+\"\"%22%22=%22%22\"\"matrix%281%2C2%2C200%2F8%2Cmatrix%281%2C2%2Csquare%2Cmeters%29%2Fhour%29\"\"%22%22=%22%22\"\"matrix%281%2C2%2C25%2Cmatrix%281%2C2%2Csquare%2Cmeters%29%2Fhour%29\"\r\n" );
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\n" ); document.write( "If they work together for 5 hours,
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document.write( "Their combined mowing rate is \"150%2B75%2B25\" or \"matrix%281%2C2%2C250%2Cmatrix%281%2C2%2Csquare%2Cmeters%29%2Fhour%29\" \r\n" );
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document.write( "Therefore in 5 hours they will have mowed \"250%2A5\" or \"matrix%281%2C3%2C1250%2Csquare%2Cmeters%29\"\r\n" );
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\n" ); document.write( "what part of the garden is not mowed?
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document.write( "So 2000-1250 = 750 square meters are no mowed.\r\n" );
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\n" ); document.write( "Follow up question: with reference to the question above, suppose the three brothers worked together for 4 hours...
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document.write( "Their combined mowing rate is  \"matrix%281%2C2%2C250%2Cmatrix%281%2C2%2Csquare%2Cmeters%29%2Fhour%29\" \r\n" );
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document.write( "Therefore in 4 hours they will have mowed \"250%2A4\" or \"matrix%281%2C3%2C1000%2Csquare%2Cmeters%29\"\r\n" );
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\n" ); document.write( "but Mark got tired and quit. Matthew stayed for another half-hour and quit.
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document.write( "Michael's and Matthew's combined mowing rate is \"150%2B75\" or \"matrix%281%2C2%2C225%2Cmatrix%281%2C2%2Csquare%2Cmeters%29%2Fhour%29\".\r\n" );
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document.write( "Therefore in that half hour Michael and Matthew will have mowed \"225%2A%281%2F2%29\" or \"matrix%281%2C3%2C112.5%2Csquare%2Cmeters%29\"\r\n" );
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document.write( "So when Matthew quits, the number of square meters mowed is 1000+225+112.5 or\r\n" );
document.write( "1337.5 square meters.\r\n" );
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document.write( "So there are 2000-1337.5 or 662.5 square meters unmowed. \r\n" );
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\n" ); document.write( "How long will it take to Michael finish the job?
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document.write( "Since Michael's rate is \"matrix%281%2C2%2C150%2Cmatrix%281%2C2%2Csquare%2Cmeters%29%2Fhour%29\",\r\n" );
document.write( "and \"TIME\"\"%22%22=%22%22\"\"PRODUCTION%2FRATE\", it will take him \"662.5%2F150=6625%2F1500=53%2F12=4%265%2F12\" or 4 hours and 25 minutes.\r\n" );
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document.write( "Edwin
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