document.write( "Question 1207363: A car travelled from Kago to Agra at an average speed of 60kmlh and returned at 45km/h on the Same Route. If the total time taken for the joumey was 3hours 30minutes. Find the distance between Kaga and Agra. \n" ); document.write( "

Algebra.Com's Answer #845193 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "A car travelled from Kago to Agra at an average speed of 60kmlh and returned at 45km/h
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document.write( "           Method 1 - using time equation\r\n" );
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document.write( "Let \"d\" be one way distance, in kilometers.\r\n" );
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document.write( "Then the time moving from K to A is    hours;\r\n" );
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document.write( "     the time moving from A to K is    hours.\r\n" );
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document.write( "Total time is 3  hours;  so we write this \"time equation\"\r\n" );
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document.write( "     +  = 3.\r\n" );
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document.write( "To solve it and to find \"d\", multiply both sides by 180. You will get\r\n" );
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document.write( "    3d + 4d = 630\r\n" );
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document.write( "       7d   = 630\r\n" );
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document.write( "        d   = 630/7 = 90.\r\n" );
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document.write( "ANSWER.  The distance is 90 km.\r\n" );
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document.write( "           Method 2 - using distance equation\r\n" );
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document.write( "Let \"t\" be one the travel time from K to A, in hours.\r\n" );
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document.write( "Then the travel time back is 3.5-t hours.\r\n" );
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document.write( "The distance from K to A is  60t kilometers.\r\n" );
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document.write( "The distance from A to K is  45(3.5-t) kilometers.\r\n" );
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document.write( "The distance is the same, so we write this distance equation\r\n" );
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document.write( "    60t = 45(3.5-t).\r\n" );
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document.write( "Simplify and find t\r\n" );
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document.write( "    60t = 45*3.5 - 45t\r\n" );
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document.write( "    60t + 45t = 45*3.5\r\n" );
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document.write( "       105t   = 45*3.5\r\n" );
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document.write( "          t   =  = 1.5.\r\n" );
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document.write( "Thus, the travel time from K to A is 1.5 hours - hence, the distance is 1.5*60 = 90 kilometers.\r\n" );
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document.write( "You get the same answer.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved in two ways - for your better understanding.\r
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