document.write( "Question 359378: Hello:) so i have a math problem that i dont quite understand! I dont have my math book so i can't look up how to do the problem. The question is:
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document.write( "Marcus and Beth leave college traveling in opposite directions on a straight road. Beth drives 13 miles faster than Marcus. After 4 hours they are 452 miles apart. Find their rates.\r
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Algebra.Com's Answer #256479 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Marcus and Beth leave college traveling in opposite directions on a straight road. \n" ); document.write( " Beth drives 13 miles faster than Marcus. \n" ); document.write( " After 4 hours they are 452 miles apart. \n" ); document.write( " Find their rates. \n" ); document.write( "Let b = B's driving rate \n" ); document.write( "Let m = M's driving rate \n" ); document.write( ": \n" ); document.write( "Write a distance equation: dist = time * rate \n" ); document.write( ": \n" ); document.write( "M's dist + B's dist = 452 \n" ); document.write( "4m + 4b = 452 \n" ); document.write( ": \n" ); document.write( "It says,\"Beth drives 13 miles faster than Marcus.\"; the equation for this is: \n" ); document.write( "b = (m+13) \n" ); document.write( ": \n" ); document.write( "Replace b with (m+13) in the 1st equation \n" ); document.write( "4m + 4(m+13) = 452 \n" ); document.write( "4m + 4m + 52 = 452 \n" ); document.write( "8m = 452 - 52 \n" ); document.write( "8m = 400 \n" ); document.write( "m = \n" ); document.write( "m = 50 mph, \n" ); document.write( "then \n" ); document.write( "b = 50 + 13 \n" ); document.write( "b = 63 mph \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if that's true \n" ); document.write( "4(50) + 4(63) = 452 \n" ); document.write( " \n" ); document.write( " |