document.write( "Question 1026491: Smith was traveling X miles to Boston at M miles per hour and arrived 2 hours late for the party. How fast should he have traveled to have arrived on time? ---\r
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document.write( "I got xm/x/m-2, which I know is wrong. An explanation of how to do this problem correctly would be greatly appreciated. Thanks!\r
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Algebra.Com's Answer #641735 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! The distance is x miles\r \n" ); document.write( "\n" ); document.write( "the speed is M mph \n" ); document.write( "the time it took is miles/miles per hour, and that is x/M \n" ); document.write( "The speed he needed was two hours less than that, or (x/M)-2, or (x-2M)/M. Those units are mph \n" ); document.write( "The distance is unchanged, and its units are miles. \n" ); document.write( "The speed needed is xM/(x-2M).ANSWER \n" ); document.write( "Try an example. \n" ); document.write( "480 miles, and he drove at 60 mph, taking 8 hours. He needed to get there in 6 hours, so he needed to drive 80 mph. \n" ); document.write( "Use the speed he went, 60 mph \n" ); document.write( "480*60/(480-120)=480*60/360 \n" ); document.write( "This is (1/6)*480=80 mph \n" ); document.write( " \n" ); document.write( " |