document.write( "Question 100321: Erynn walked at a constant rate for 2 hours and bicycled at three times that rate for 1/3 hours. She traveled 12km in all. What was her walking rate?\r
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Algebra.Com's Answer #73072 by TP(29)![]() ![]() ![]() You can put this solution on YOUR website! Let the walking rate be x(km/h).\r \n" ); document.write( "\n" ); document.write( "This means that after 1 hour she has walked x km. \n" ); document.write( "So after 2 hours she will have walked 2x km.\r \n" ); document.write( "\n" ); document.write( "We are told that she then cycles at three times her walking rate. \n" ); document.write( "This means that her cycling rate =3*x=3x(km/h). \n" ); document.write( "But we are told that she only cycles for 1/3 of an hour and so her cycling distance is 1/3 of 3x km. which is 1x or x km.\r \n" ); document.write( "\n" ); document.write( "So she walks 2x km and cycles x km,giving a total travelling distance of 3x km. \r \n" ); document.write( "\n" ); document.write( "But we are told that the total distance travelled is 12km.\r \n" ); document.write( "\n" ); document.write( " Hence 3x=12.\r \n" ); document.write( "\n" ); document.write( "Now share each side of this equation by 3 and we get:\r \n" ); document.write( "\n" ); document.write( " x=4.\r \n" ); document.write( "\n" ); document.write( "So her walking rate is 4km/h.ANS \n" ); document.write( "(NB. In English English we usually say \"cycled\" rather than \"bicycled\" and we spell the US \"traveled\" as \"travelled\"!).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |