document.write( "Question 889656: Two cars travel the same distance. The first
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document.write( "car travels at a rate of 36 mph and reaches its
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document.write( "destination in t hours. The second car travels
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document.write( "at a rate of 53 mph and reaches its destination
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document.write( "in 4.5 hours earlier than the first car.
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document.write( "How long does it take for the first car to
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document.write( "reach its destination?
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document.write( "Answer in units of hours. \n" );
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Algebra.Com's Answer #538331 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two cars travel the same distance. \n" ); document.write( " The first car travels at a rate of 36 mph and reaches its destination in t hours. \n" ); document.write( " The second car travels at a rate of 53 mph and reaches its destination in 4.5 hours earlier than the first car. \n" ); document.write( "How long does it take for the first car to reach its destination? \n" ); document.write( ": \n" ); document.write( "(t-4.5) = travel time of the 2nd car \n" ); document.write( ": \n" ); document.write( "Write a dist equation, both cars are traveling the same dist (dist = speed * time) \n" ); document.write( "36t = 53(t-4.5) \n" ); document.write( "36t = 53t - 238.5 \n" ); document.write( "238.5 = 53t - 36t \n" ); document.write( "238.5 = 17t \n" ); document.write( "t = 238.5/17 \n" ); document.write( "t = 14.03 ~ 14 hrs \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this, find the dist each car traveled, should be the samee \n" ); document.write( "14.03 - 4.5 = 9.53 hrs the travel time of the 2nd car \n" ); document.write( "53 * 9.53 = 505.1 mi \n" ); document.write( "1st car dist \n" ); document.write( "36 * 14.03 = 505.1 mi \n" ); document.write( " |