document.write( "Question 1012291: Samuel reads one and a half times as fast as Benjamin. If Samuel can read 36 pages in 50 minutes, how long will it take Benjamin to complete a 120 page book? \n" ); document.write( "
Algebra.Com's Answer #628180 by Theo(13342)\"\" \"About 
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samuel can read 36 pages in 50 minutes.\r
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\n" ); document.write( "\n" ); document.write( "since rate * time = quantity of work produced, the formula for samuel becomes:\r
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\n" ); document.write( "\n" ); document.write( "rate * 50 = 36\r
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\n" ); document.write( "\n" ); document.write( "solve for rate to get rate = 36/50.\r
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\n" ); document.write( "\n" ); document.write( "that's samuel's rate.\r
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\n" ); document.write( "\n" ); document.write( "samuel's rate is 1.5 times benjamin's rate.\r
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\n" ); document.write( "\n" ); document.write( "this means that 36/50 = 1.5 * benjamin's rate.\r
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\n" ); document.write( "\n" ); document.write( "solve for benjamin's rate to get benjamin's rate = (36/50) / 1.5.\r
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\n" ); document.write( "\n" ); document.write( "simplify to get benjamin's rate is equal to 24/50 pages per minute.\r
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\n" ); document.write( "\n" ); document.write( "we'll use the formula of rate * time = quantity to figure out how long it will take benjamin to read 120 pages.\r
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\n" ); document.write( "\n" ); document.write( "quantity = 120 pages
\n" ); document.write( "rate = 24/50 pages per minute\r
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\n" ); document.write( "\n" ); document.write( "rate * time = quantity becomes 24/50 * time = 120.\r
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\n" ); document.write( "\n" ); document.write( "solve for time to get time = 120 / (24/50) which makes time = 250 minutes.\r
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\n" ); document.write( "\n" ); document.write( "it will take benjamin 250 minutes to read 120 pages.\r
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