document.write( "Question 166763This question is from textbook Algebra 1
\n" ); document.write( ": Word problems using inequalities. Please help \r
\n" ); document.write( "\n" ); document.write( "Jeff bikes for three hours and his brother bikes four hours. Although Jeff bikes 15 mph faster, his total distance was at most twice as far as his brother's. How fast does each ride?\r
\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Joe
\n" ); document.write( "

Algebra.Com's Answer #122914 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Working Eqn ----> \"Speed=Distance%2Ftime\"
\n" ); document.write( "Conditions:
\n" ); document.write( "Speed of Jeff: \"S%5Bjf%5D=x%2B15\", 15mph faster than brother
\n" ); document.write( "Speed of brother: \"S%5Bbr%5D=x\"
\n" ); document.write( "Distance covered by Jeff in \"t%5Bjf%5D=3hours\": \"D%5Bjf%5D=2%2AD%5Bbr%5D\", twice that of brother covered in \"t%5Bbr%5D=4hours\"
\n" ); document.write( "Via Working eqn,
\n" ); document.write( "\"D=%28Speed%29%28time%29\"
\n" ); document.write( "We equate the 2 distances by both:
\n" ); document.write( "\"D%5Bjf%5D=2D%5Bbr%5D\"
\n" ); document.write( "\"%28S%5Bjf%5D%29%28t%5Bjf%5D%29=2%28%28S%5Bbr%5D%29%28t%5Bbr%5D%29%29\"
\n" ); document.write( "\"%28x%2B15%29%283hrs%29=2%28%28x%29%284hrs%29%29\"
\n" ); document.write( "\"3x%2B45=8x\"
\n" ); document.write( "\"45=8x-3x=5x\" ----> \"cross%2845%299%2Fcross%285%29=cross%285%29x%2Fcross%285%29\"
\n" ); document.write( "\"highlight%28x=9mph%29\", Speed of brother
\n" ); document.write( "\"9%2B15=highlight%2824mph%29\", Speed of Jeff
\n" ); document.write( "In doubt? Let's check their distance, via working eqn,
\n" ); document.write( "Distance covered by Jeff is twice as much ----> \"D%5Bjf%5D=%2824%29%283%29=72miles\"
\n" ); document.write( "\"D%5Bbr%5D=%289%29%284%29=36miles%29\"
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
\n" ); document.write( "
\n" ); document.write( "
\n" );