document.write( "Question 668133: n 4 hours, a man can move 12 blocks, and 3 rocks. In 3 hours, the SAME man can move 4 blocks, and 6 rocks. How long does it take that man to just move 1 block? \n" ); document.write( "
Algebra.Com's Answer #415681 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! In 4 hours, a man can move 12 blocks, and 3 rocks. \n" ); document.write( " In 3 hours, the SAME man can move 4 blocks, and 6 rocks. \n" ); document.write( " How long does it take that man to just move 1 block? \n" ); document.write( ": \n" ); document.write( "let b = time (in hrs) to move 1 block \n" ); document.write( "let r = time to move 1 rock \n" ); document.write( ": \n" ); document.write( "Write an equation for each scenario \n" ); document.write( ": \n" ); document.write( "12b + 3r = 4 \n" ); document.write( "4b + 6r = 3 \n" ); document.write( ": \n" ); document.write( "Multiply the 1st equation by 2, subtract the 2nd equation \n" ); document.write( "24b + 6r = 8 \n" ); document.write( " 4b + 6r = 3 \n" ); document.write( "-------------subtraction eliminates r, find b \n" ); document.write( "20b = 5 \n" ); document.write( "b = 5/20 \n" ); document.write( "b = 1/4 hr for the man to move one block \n" ); document.write( " |