document.write( "Question 206581: 10. Two men chop one ton of wood in two hours. How long will it take three men to chop three tons of wood?\r
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document.write( "(A) 2 hours (B) 5/2 hours (C) 3 hours (D) 10/3 hours (E) None of these \n" );
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Algebra.Com's Answer #156152 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let R = number of tons of wood per hour that one man can chop. \n" ); document.write( "----- \n" ); document.write( "let W = number of tons of wood that are chopped. \n" ); document.write( "----- \n" ); document.write( "let H = the number of hours that it takes to chop W tons of wood. \n" ); document.write( "----- \n" ); document.write( "let M = number of men \n" ); document.write( "----- \n" ); document.write( "general formula would be R*M*H = W \n" ); document.write( "----- \n" ); document.write( "The first statement says that 2 men chop one ton of wood in 2 hours. \n" ); document.write( "----- \n" ); document.write( "M = 2 \n" ); document.write( "W = 1 \n" ); document.write( "H = 2 \n" ); document.write( "----- \n" ); document.write( "formula of R*M*H = W becomes R*2*2 = 1 \n" ); document.write( "solving for R gets us R = 1/4 \n" ); document.write( "----- \n" ); document.write( "R = 1/4 means 1 man can chop 1/4 ton of wood in one hour. \n" ); document.write( "----- \n" ); document.write( "The second statement asks for how long it takes 3 men to chop 3 tons of wood. \n" ); document.write( "----- \n" ); document.write( "M = 3 \n" ); document.write( "W = 3 \n" ); document.write( "R = 1/4 \n" ); document.write( "----- \n" ); document.write( "formula of R*M*H = W becomes (1/4)*3*H = 3 \n" ); document.write( "solving for H gets us H = 4 \n" ); document.write( "----- \n" ); document.write( "Answer is 4 hours. \n" ); document.write( "----- \n" ); document.write( "you have 3 men and each of them can chop 1/4 tons of wood per hour. \n" ); document.write( "At the end of 1 hour they have chopped 3/4 tons of wood. \n" ); document.write( "In 4 hours they have chopped 4 * (3/4) tons of wood which equals 3 tons of wood. \n" ); document.write( "-----\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |