document.write( "Question 290191: how do i solve this problem algebraically?\r
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document.write( "two airplanes left the same airport traveling in opposite directions. if one airplane averages 400 mph and the other 250 mph, how many hours willl it take for the distance between them be 1625 miles?\r
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document.write( "i know the answer is 2.5 hours but i dont know how to get there. \n" );
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Algebra.Com's Answer #210170 by rentot12(1) You can put this solution on YOUR website! First, make a table for the given terms:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's say airplane A is the one that flies for 400mph and airplane B that flies for 250mph. Since what we are looking for is \"how many hours\", the column for Time for both A & B will be left unknown and it was because there was no time given on either of the two airplanes. The unknown time will be represented by (t).\r \n" ); document.write( "\n" ); document.write( "Remember these formulas back from your physics (don't worry about physics stuff on this algebra matter. just recall these formulas to help you solve with this kind of question): \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Distance = rate x time\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "v = s/t v = stands for velocity or rate ; s = stands for speed or distance\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "s = vt\r \n" ); document.write( "\n" ); document.write( "_______________________________________________________________________________ \n" ); document.write( " Airplane | Rate | Time | Distance (rate x time) \n" ); document.write( "________________________________________________________________________________ \n" ); document.write( " A | 400mph | t | 400(t) \n" ); document.write( "________________________________________________________________________________ \n" ); document.write( " B | 250mph | t | 250(t) \n" ); document.write( "________________________________________________________________________________ \n" ); document.write( " Total | 1625 miles \n" ); document.write( "________________________________________________________________________________\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Remember to create a table for this kind of question so we could easily identify which is which and accord it to a linear equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then, apply linear equation.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " 400(t) + 250(t) = 1625 miles\r \n" ); document.write( "\n" ); document.write( " 650t = 1625\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " 650t = 1625 \n" ); document.write( " ____ _____\r \n" ); document.write( "\n" ); document.write( " 650 650\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " t = 2.5 --------> your answer match. \n" ); document.write( " so let's check\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " checking:\r \n" ); document.write( "\n" ); document.write( " just substitute the (t)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " 400(2.5) + 250(2.5) = 1625 \n" ); document.write( " \n" ); document.write( " 1000 + 625 = 1625 \n" ); document.write( " \n" ); document.write( " 1625 = 1625 ----> correct!\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope this helps. This is the first question here that i answered. Goodluck! \n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |