document.write( "Question 123635: The average speed of one airplane is 200 mph faster than that of an automobile. If the automobile starts at 3 am and the airplane starts from the same place at 11 am, they will have traveled the same number of miles by 1 pm. Find the rate of the automobile.\r
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Algebra.Com's Answer #90842 by PBMathandscience(9)![]() ![]() ![]() You can put this solution on YOUR website! Let the speed of the car be \"X\". From 3 am until 1 pm (10 hours), the car will travel 10*X miles. \r \n" ); document.write( "\n" ); document.write( "The speed of the airplane is (X +200). From 11 am until 1 pm (2 hours), the plane will travel 2*(X+200).\r \n" ); document.write( "\n" ); document.write( "The distance travelled is the same, so:\r \n" ); document.write( "\n" ); document.write( "10*X = 2*(x+200)= 2x+400\r \n" ); document.write( "\n" ); document.write( "Subtract 2*X from both sides:\r \n" ); document.write( "\n" ); document.write( "8*X = 400 \n" ); document.write( "X = 400/8 = 50 mph.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |