document.write( "Question 241088: The time t required to drive a fixed distance varies inversely as the speed r. It takes 5 hrs at 55 mph to drive a fixed distance. How long would it take at 40 mph? \n" ); document.write( "
Algebra.Com's Answer #176566 by nyc_function(2741)\"\" \"About 
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t varies inversely as r is written as t = k/r where k is the constant of proportionality.\r
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\n" ); document.write( "\n" ); document.write( "We first need to find k plugging 5 for t and 55 for r.\r
\n" ); document.write( "\n" ); document.write( "5 = k/55\r
\n" ); document.write( "\n" ); document.write( "5*55 = k\r
\n" ); document.write( "\n" ); document.write( "275 = k\r
\n" ); document.write( "\n" ); document.write( "We now need to find t when k = 275 and r = 40.\r
\n" ); document.write( "\n" ); document.write( "t = k/r\r
\n" ); document.write( "\n" ); document.write( "t = 275/40\r
\n" ); document.write( "\n" ); document.write( "t = 6.875 hours\r
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