document.write( "Question 1105321: Help me to solve this problem: Jon left Prince George and drove towards Vancouver at a speed of 110 km/hr. Jim left Vancouver
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document.write( "at the same time and drove towards Prince George at a speed of 100 km/hr. If Prince George is 700
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document.write( "km from Vancouver how far had they each driven when they passed each other on the highway?
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document.write( "Answer is Jon drove 366.66 km and Jim drove 333.33km. \n" );
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Algebra.Com's Answer #720125 by ikleyn(52905) You can put this solution on YOUR website! . \n" ); document.write( "1 - Physics style solution\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Since they move toward each other, their relative speed is 110 km/h + 100 km/h = 210 km/h.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is the rate decreasing the distance between them.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, the time before they meet each other is time =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2 - Algebra style solution\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let t be time when they meet each other (in hours).\r\n" ); document.write( "\r\n" ); document.write( "During this time, Peter will cover the distance 100*t kilometers.\r\n" ); document.write( "Jim will cover 110*t kilometers.\r\n" ); document.write( "\r\n" ); document.write( "At the moment they meet each other, they cover the entire distance of 700 kilometers:\r\n" ); document.write( "\r\n" ); document.write( "100*t + 110*t = 700.\r\n" ); document.write( "\r\n" ); document.write( "Or, which is the same,\r\n" ); document.write( "\r\n" ); document.write( "(100 + 110)*t = 700,\r\n" ); document.write( "\r\n" ); document.write( "which gives you t =\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------- \n" ); document.write( "To wide your horizon, look into the lessons\r \n" ); document.write( "\n" ); document.write( " - Travel and Distance problems \r \n" ); document.write( "\n" ); document.write( " - Travel and Distance problems for two bodies moving in opposite directions \r \n" ); document.write( "\n" ); document.write( " - Travel and Distance problems for two bodies moving in the same direction (catching up)\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "They contain basic introductory Travel and Distance problems solved by different methods.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |