document.write( "Question 498927: I'm helping to teach some Soldiers in math when I came across a question that stumped me. I'm hoping you can help out.\r
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Algebra.Com's Answer #337252 by Edwin McCravy(20059)\"\" \"About 
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If 2 boys can build 6 sandcastles in 3 and 1/3 hours, how long will it take for 3 boys to build 11 sandcastles?
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document.write( "The easiest way to do job-worker-time problems is to use the formula:\r\n" );
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document.write( "\"%28W%5B1%5DT%5B1%5D%29%2FJ%5B1%5D\"\"%22%22=%22%22\"\"%28W%5B2%5DT%5B2%5D%29%2FJ%5B2%5D\"\r\n" );
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document.write( "where\r\n" );
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document.write( "W1 = the number of workers in the first situation.\r\n" );
document.write( "T1 = the number of time units (hours in this case) in the first situation.\r\n" );
document.write( "J1 = the number of jobs in the first situation.\r\n" );
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document.write( "W2 = the number of workers in the second situation.\r\n" );
document.write( "T2 = the number of time units (hours in this case) in the second situation.\r\n" );
document.write( "J2 = the number of jobs in the second situation.\r\n" );
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document.write( "W1 = 2             W2 = 3     \r\n" );
document.write( "T1 = \"3%261%2F3\"            T2 = the unknown quantity \r\n" );
document.write( "J1 = 6             J2 = 11\r\n" );
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document.write( "\"%28W%5B1%5DT%5B1%5D%29%2FJ%5B1%5D\"\"%22%22=%22%22\"\"%28W%5B2%5DT%5B2%5D%29%2FJ%5B2%5D\"\r\n" );
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document.write( "Substituting:\r\n" );
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document.write( "\"%282%2A3%261%2F3%29%2F6\"\"%22%22=%22%22\"\"%283T%5B2%5D%29%2F11\"\r\n" );
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document.write( "Multiply both sides by the LCD of 66 to clear of fractions:\r\n" );
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document.write( "\"66%28%282%2A3%261%2F3%29%2F6%29\"\"%22%22=%22%22\"\"66%28%283T%5B2%5D%29%2F11%29\"\r\n" );
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document.write( "\"11%282%2A3%261%2F3%29\"\"%22%22=%22%22\"\"6%283T%5B2%5D%29\"\r\n" );
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document.write( "Change \"3%261%2F3\" to \"10%2F3\", Multtiply 6×3 on the right\r\n" );
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document.write( "\"11%282%2Aexpr%2810%2F3%29%29\"\"%22%22=%22%22\"\"18T%5B2%5D\"\r\n" );
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document.write( "Multiply both sides by 3\r\n" );
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document.write( "\"3%2A11%282%2Aexpr%2810%2F3%29%29\"\"%22%22=%22%22\"\"3%2A18T%5B2%5D\"\r\n" );
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document.write( "\"cross%283%29%2A11%282%2Aexpr%2810%2Fcross%283%29%29%29\"\"%22%22=%22%22\"\"54T%5B2%5D\"\r\n" );
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document.write( "\"11%282%2A10%29\"\"%22%22=%22%22\"\"54T%5B2%5D\"\r\n" );
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document.write( "\"220+=+54T%5B2%5D\"\r\n" );
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document.write( "\"220%2F54+=+T%5B2%5D\"\r\n" );
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document.write( "\"110%2F27+=+T%5B2%5D\"\r\n" );
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document.write( "\"4%262%2F27+=+T%5B2%5D\"\r\n" );
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document.write( "Answer: \"4%262%2F27\" hours, or about 4 hours and 4.4 minutes.\r\n" );
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document.write( "Edwin
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