document.write( "Question 796345: 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.
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Algebra.Com's Answer #481371 by Alan3354(69443)\"\" \"About 
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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
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