document.write( "Question 1187963: Hello\r
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document.write( "I'm stumped on how to workout this question. Could you please tell me how I go about solving it?
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document.write( "Two Carpenters are building each a small dog house. Carpenter A started building his at 1 pm and ended at 5:30 pm. Carpenter B, being a newbie is more slower than A by half. At what time must Carpenter B start building so that he can end at the same time
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document.write( "with A\r
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document.write( "Thanks in Advance. \n" );
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Algebra.Com's Answer #818976 by Theo(13342)![]() ![]() You can put this solution on YOUR website! carpenter A starts at 1:00 pm and finishes at 5:30 pm. \n" ); document.write( "that means it takes carpenter A 4 hours and 30 minutes to finish the job. \n" ); document.write( "that's equivalent to 4.5 hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "carpenter B works slower than carpenter A by half.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i think that means:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if carpenter A takes 4.5 hours to complete the job, then carpenter B would take 4.5 hours, plus half of that = 2.25 hours, for a total of 6.75 hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "assuming that's what it means, then, if carpenter B wants to finish the job at the same time as carpenter B, he would have to start his job 2.25 hours before carpenter B.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2.25 hours is equal to 2 hours and .25 * 60 = 15 minutes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if carpenter A started at 1:00 pm, then carpenter B would have to start 2 hours before that = 11:00 am plus another 15 minutes before that = 10:45 am.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to see if that makes sense, then:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "carpenter A starts at 1:00 pm and works for 4 hours and 30 minutes to complete at 5:30 pm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "carpenter B starts at 10:45 am and works for 6 hours and 45 minutes to complete at 5:30 pm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "they both complete at the same time.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to do the arithmetic, it helps to convert everything to hours, do the arithmetic, and then convert back to hours and minutes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "under that assumption:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5:30 pm is equal to 5.5 pm. \n" ); document.write( "1:00 pm is equal to 1 pm. \n" ); document.write( "subtract 1 from 5.5 to get 4.5 hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5:30 pm is equal to 5.5 pm. \n" ); document.write( "10:45 am is equal to 10.75 am. \n" ); document.write( "convert everything to 24 hours clock and: \n" ); document.write( "5.5 pm is equal to 17.5 on the 24 hour clock. \n" ); document.write( "10.75 am is equal to 10.75 on the 24 hour clock. \n" ); document.write( "17.5 minus 10.75 = 6.75 hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6.75 hours is longer than 4.5 hours by half, assuming that meaning is correct for the expression.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is that carpenter B would have to start at 10:45 am so that he can finish at the same time as carpenter A.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let me know if you have any questions.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "theo\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |