document.write( "Question 84672: I'M HORRIBLE WITH WORD PROBLEMS AND THIS SEEMS SO SIMPLE, YET IT HURTS MY BRAIN. PLEASE HELP ME!
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document.write( "It takes Eric twice as long as Allen to plant a field of corn. When they worked together, it took five hours. How long would it have taken each of them working alone?\r
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document.write( "a)define variable:
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document.write( "b)write an equation:
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document.write( "c)solution: \n" );
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Algebra.Com's Answer #60995 by dolly(163)![]() ![]() ![]() You can put this solution on YOUR website! Let the time taken by Allen to plant a field of corn = x hrs\r \n" ); document.write( "\n" ); document.write( "Then time taken by Eric = 2x hrs\r \n" ); document.write( "\n" ); document.write( "Quantity planted by Allen in 1 hr = 1/x\r \n" ); document.write( "\n" ); document.write( "Quantity planted by Eric in 1 hr = 1/2x\r \n" ); document.write( "\n" ); document.write( "Quantity planted by both in 1 hr = 1/x + 1/2x\r \n" ); document.write( "\n" ); document.write( " = 3/2x\r \n" ); document.write( "\n" ); document.write( "But given they work together and finish in 5 hrs\r \n" ); document.write( "\n" ); document.write( "==> 3/2x = 1/5\r \n" ); document.write( "\n" ); document.write( "==> 2x = 15 [multiplying both sides by LCD = 10x]\r \n" ); document.write( "\n" ); document.write( "==> x = 15/2\r \n" ); document.write( "\n" ); document.write( " ==> x = 7 1/2 \r \n" ); document.write( "\n" ); document.write( "Thus time taken by Allen to plant a field of corn = 7 1/2 hrs\r \n" ); document.write( "\n" ); document.write( "time taken by Eric to plant a field of corn = 2x = 15 hrs\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |