document.write( "Question 337564: A car went 372 miles in 6 hours, traveling part of the time at 55 miles per hour and part of the time at 70 miles per hour. How long did the car travel at each speed? \n" ); document.write( "

Algebra.Com's Answer #242001 by mananth(16946) $\"\"$ $\"About$

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A car went 372 miles in 6 hours, traveling part of the time at 55 miles per hour and part of the time at 70 miles per hour. How long did the car travel at each speed?
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\n" ); document.write( "let the car travel x miles at 55mph
\n" ); document.write( "the car will travel 372-x miles at 70 mph.
\n" ); document.write( "..
\n" ); document.write( "time at 55 mph = x/55
\n" ); document.write( "time at 70 mph = 372-x/70
\n" ); document.write( "..
\n" ); document.write( "x/55 + (372-x)/70 = 6\r
\n" ); document.write( "\n" ); document.write( "..
\n" ); document.write( "70x+55*372-55x / 70*55=6
\n" ); document.write( "15x+20460 =6*70*55
\n" ); document.write( "15x+20460=23100
\n" ); document.write( "add -20460
\n" ); document.write( "15x+20460-20460 = 23100-20460
\n" ); document.write( "15x=2640
\n" ); document.write( "divide by 15
\n" ); document.write( "x= 2640/15
\n" ); document.write( "x=176 miles at 55mph
\n" ); document.write( "372-x = 372-176= 196 miles at 70 mph \n" ); document.write( "

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