document.write( "Question 129113This question is from textbook Introductory Algebra
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document.write( ": I appreciate your help with this word problem:\r
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document.write( "A car travels from one town to another at a speed of 32 mph. If it had gone 4 mph faster, it could have made the trip in 1/2 hour less time. How far apart are the towns?\r
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document.write( "Thanks!!! \n" );
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Algebra.Com's Answer #94382 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A car travels from one town to another at a speed of 32 mph. If it had gone 4 mph faster, it could have made the trip in 1/2 hour less time. How far apart are the towns? \n" ); document.write( "------------------ \n" ); document.write( "Car DATA: \n" ); document.write( "Rate = 32 mph ; distance = x miles ; time = d/r = x/32 hrs \n" ); document.write( "------------------------- \n" ); document.write( "New Car DATA: \n" ); document.write( "Rate = 36 mph ; distance = x miles ; time = d/r = x/36 hrs \n" ); document.write( "--------------------- \n" ); document.write( "EQUATIOn: \n" ); document.write( "old time - new time = 1/2 hr \n" ); document.write( "x/32 - x/36 = 1/2 \n" ); document.write( "(36x-32x)/32*36 = 1/2 \n" ); document.write( "4x = (32*36)/2 \n" ); document.write( "x = 8*18 \n" ); document.write( "x = 144 miles (distance between the towns) \n" ); document.write( "========================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |