document.write( "Question 994699: I need your help with this word problem :(\r
\n" ); document.write( "\n" ); document.write( "A motor scooter travels 16 mi in the same time that a bicycle covers 7 mi. If the rate of the scooter is 5mph more than twice the rate of the bicycle, find both rates.
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Algebra.Com's Answer #613721 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
bicycle rate is x mph
\n" ); document.write( "scooter rate is 2x+5 mph
\n" ); document.write( "2x+5 mph * y hours=16 mi.
\n" ); document.write( "y=16/(2x+5)
\n" ); document.write( "also
\n" ); document.write( "x mph * y hours=7 miles
\n" ); document.write( "y=7/x.
\n" ); document.write( "So, (16/(2x+5))=(7/x)
\n" ); document.write( "cross multiply
\n" ); document.write( "16x=7(2x+5)
\n" ); document.write( "16x=14x+35
\n" ); document.write( "2x=35
\n" ); document.write( "x=17.5 mph bicycle
\n" ); document.write( "2x+5=40 mph scooter
\n" ); document.write( "========
\n" ); document.write( "scooter travels 16 miles at 40 mph, that is 0.4 hours or 24 minutes.
\n" ); document.write( "bicycle travels 7 miles at 17.5 mph, that is 7/17.5 hours, and that is 0.4 hours or 24 minutes.
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