document.write( "Question 596589: Sue drove her car at 25 mph for the first part of a trip and then changed her speed to 55 mph for the second part. If the entire trip is 295 miles and took 7 hours, how many hours are traveled at each speed?
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Algebra.Com's Answer #377821 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Sue drove her car at 25 mph for the first part of a trip and then changed her speed to 55 mph for the second part. If the entire trip is 295 miles and took 7 hours, how many hours are traveled at each speed? \n" ); document.write( "** \n" ); document.write( "let x=distance traveled for first part of trip at 25 mph \n" ); document.write( "let (295-x)=distance traveled for second part of trip at 55 mph \n" ); document.write( "travel time=distance/speed \n" ); document.write( "x/25+(295-x)/55=7 \n" ); document.write( "LCD:25*55=1375 \n" ); document.write( "55x+25*295-25x=1375*7=9625 \n" ); document.write( "30x+7375=9625 \n" ); document.write( "30x=2250 \n" ); document.write( "x=75 \n" ); document.write( "travel time for first part of trip=x/25=75/25=3 hrs \n" ); document.write( "travel time for second part of trip=7-3=4 hrs \n" ); document.write( " |