document.write( "Question 1039208: 8men and 12boy can finish a piece of work in 5 day while 6men and 8boy can finish it in 7 day. Find the time taken by 1men and 1 boy alone \n" ); document.write( "
Algebra.Com's Answer #653948 by josgarithmetic(39620)![]() ![]() ![]() You can put this solution on YOUR website! This is the same as any work rates problem; RT=W to relate rate, time, amount of work.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Your description uses different amounts of workers of different types, and each one worker has its own rate.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-- \n" ); document.write( "Change from: \n" ); document.write( "8men and 12boy can finish a piece of work in 5 day while 6men and 8boy can finish it in 7 day. Find the time taken by 1men and 1 boy alone \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To this: \n" ); document.write( "Eight men and 12 boys can finish a piece of work in 5 days, while 6 men and 8 boys can finish it in 7 days. Find the time taken by 1 man and 1 boy alone. \n" ); document.write( "--\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The amount of work in those two parts is 1, of whatever unit is this work. \n" ); document.write( "Let r be the work rate for one man and let B be the work rate for one boy. \n" ); document.write( "Rate of workers acting together is the addition of all their individual rates. \n" ); document.write( "This is the basic system of equations according to the description: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Can you understand, and then do the rest (arithmetic)? \n" ); document.write( " |