document.write( "Question 347465: A man walks from one town to another in 5 hours. Had he walked of a kilometer faster, he would have reached his destination 36 minutes earlier. Find the distance between the two towns and the rate at which he walked. \n" ); document.write( "
Algebra.Com's Answer #248556 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! Let the speed at which the man traveled be x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let his speed had he walked a kilometres faster be y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = x+1.............Equation(1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5x = 4.4y...........Equation(2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Sub y in (2),\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5x=4.4(x+1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5x=4.4x+4.4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0.6x=4.4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x=22/3 km/h\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "D=ST\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "D=5*22/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "D=110/3 km\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, he walked at a rate of approximately 7.3 km/h and traveled a \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "distance of approximately 36.7 km \n" ); document.write( " \n" ); document.write( " |