document.write( "Question 732175: you drive 104 miles along a scenic highway and then take a 34-mile bike ride. your driving rate is 4 times your cycling rate. suppose you have no more than a total of 4 hours for driving and cycling. Let x represent your cycling rate in miles per hour. Use a rational inequality to determine the possible values of x. \n" ); document.write( "
Algebra.Com's Answer #447648 by stanbon(75887)\"\" \"About 
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you drive 104 miles along a scenic highway and then take a 34-mile bike ride. your driving rate is 4 times your cycling rate. suppose you have no more than a total of 4 hours for driving and cycling. Let x represent your cycling rate in miles per hour. Use a rational inequality to determine the possible values of x.
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\n" ); document.write( "Driving DATA:
\n" ); document.write( "distance = 104 miles ; rate = 4x mph ; time = d/r = 104/(4x) hrs.
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\n" ); document.write( "Cycling DATA:
\n" ); document.write( "distance = 34 miles ; rate = x mph ; time = d/r = 34/x hrs.
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\n" ); document.write( "Inequality:
\n" ); document.write( "104/(4x) + 34/x <= 4 hrs
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\n" ); document.write( "Multiply thru by 4x to get:
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\n" ); document.write( "104 + 34*4 <= 16x
\n" ); document.write( "26 + 34 <= 4x
\n" ); document.write( "60 <= 4x
\n" ); document.write( "x >= 15 mph (cycling rate)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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