document.write( "Question 1202875: John used a few hours to complete his homework. 2/3 of the time was spent on English homework. 1/2 of the remaining time was spent on Science homework. He spent the rest of the 20 minutes on Math homework. How much time did he use to complete his English homework?\r
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document.write( "(1) 10 minutes
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document.write( "(2) 40 minutes
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document.write( "(3) 70 minutes
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document.write( "(4) 80 minutes \n" );
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Algebra.Com's Answer #838057 by papachick24025(6)![]() ![]() ![]() You can put this solution on YOUR website! To solve the problem, we need to use the given information to determine the amount of time John spent on English homework. \r \n" ); document.write( "\n" ); document.write( "Let's start by using fractions to represent the time John spent on each subject:\r \n" ); document.write( "\n" ); document.write( "- English homework: 2/3 of total time \n" ); document.write( "- Remaining time: 1/3 of total time \n" ); document.write( "- Science homework: 1/2 of remaining time = 1/2 * 1/3 = 1/6 of total time \n" ); document.write( "- Math homework: rest of the time = total time - (English + Science) = 1 - (2/3 + 1/6) = 1/6 of total time\r \n" ); document.write( "\n" ); document.write( "We know that John spent the rest of the 20 minutes on Math homework, so we can set up an equation:\r \n" ); document.write( "\n" ); document.write( "1/6 * total time = 20 minutes\r \n" ); document.write( "\n" ); document.write( "Solving for total time:\r \n" ); document.write( "\n" ); document.write( "total time = 20 minutes / (1/6) = 120 minutes\r \n" ); document.write( "\n" ); document.write( "Now we can find out how much time John spent on English homework:\r \n" ); document.write( "\n" ); document.write( "English homework = 2/3 * total time = (2/3) * 120 minutes = 80 minutes\r \n" ); document.write( "\n" ); document.write( "Therefore, the answer is (4) 80 minutes. \n" ); document.write( " |