document.write( "Question 221039: A farmer can plow a field in 4 days by using a tractor. A hired hand can plow the same field in 6 days by using a smaller tractor. How many days will be required for the plowing if they work together? \n" ); document.write( "
Algebra.Com's Answer #165892 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! if X is their combined time, then the FRACTION that the farmer plows is X/4 \n" ); document.write( "___ and the FRACTION that the hired hand plows is X/6 \n" ); document.write( "___ the FRACTIONS add to 1 (the WHOLE field)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "X/4 + X/6 = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiplying by 12 (LCD) ___ 3X + 2X = 12 ___ 5X = 12 ___ X = 12/5 = 2.4 days \n" ); document.write( " |