document.write( "Question 796345: A train travels at 60 mph for x hours and at 70mph for y hours.
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document.write( "It travels a distance of 290 miles and its average speed is 64mph.
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document.write( "Find the times x and y to the nearest minute.
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Algebra.Com's Answer #481371 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! A train travels at 60 mph for x hours and at 70mph for y hours. \n" ); document.write( "It travels a distance of 290 miles and its average speed is 64mph. \n" ); document.write( "Find the times x and y to the nearest minute. \n" ); document.write( "--------------- \n" ); document.write( "60x + 70y = 290 (total distance) \n" ); document.write( "t = d/r = 290/64 (total time) \n" ); document.write( "x + y = 290/64 (total time) = 145/32 \n" ); document.write( "6x + 7y = 29 (total distance) \n" ); document.write( "6x + 6y = 870/32 (6x time equation) \n" ); document.write( "--------------------------------------- Subtract \n" ); document.write( "y = 29 - 870/32 = 58/32 hours \n" ); document.write( "y = 109 minutes \n" ); document.write( "----- \n" ); document.write( "x = 87/32 hours \n" ); document.write( "x = 163 minutes \n" ); document.write( " |