document.write( "Question 148845: The posted speed on a highway is 65 miles per hour.
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document.write( "Car A is 40 feet long. Car B is 20 feet long.
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document.write( "If car A is in the lead traveling at 60 mph and car B is 50 feet behind car A traveling at 65 mph, how many feet will it take for car B to pass and gain a 50 foot lead on car A without exceeding the speed limit?\r
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document.write( "Please show me the formula to solve this. \n" );
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Algebra.Com's Answer #109197 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The posted speed on a highway is 65 miles per hour. \n" ); document.write( "Car A is 40 feet long. Car B is 20 feet long. \n" ); document.write( "If car A is in the lead traveling at 60 mph and car B is 50 feet behind car A traveling at 65 mph, how many feet will it take for car B to pass and gain a 50 foot lead on car A without exceeding the speed limit? \n" ); document.write( ": \n" ); document.write( "Car B will have to travel: 50 + 40 + 50 + 20 = 160 ft to get around Car A \n" ); document.write( ": \n" ); document.write( "Therefore, in the same time frame: \n" ); document.write( "Car B, at 65 mph, will have to travel 160 ft further than Car A travels at 60 mph. \n" ); document.write( ": \n" ); document.write( "Find speeds in ft/sec \n" ); document.write( " \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Let d = dist traveled by Car B \n" ); document.write( "then \n" ); document.write( "(d-160) = dist traveled by Car A \n" ); document.write( ": \n" ); document.write( "Write a time equation: Time = \n" ); document.write( ": \n" ); document.write( "Car B time = Car A time \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( ": \n" ); document.write( "93.33(d-160) = 88d \n" ); document.write( ": \n" ); document.write( "93.33d - 14932.8 = 88d \n" ); document.write( ": \n" ); document.write( "93.33 - 88d = 14932.8 \n" ); document.write( ": \n" ); document.write( "5.33d = 14932.8 \n" ); document.write( "d = \n" ); document.write( "d = 2,802 ft traveled while car B passes car A\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |