document.write( "Question 459347: I have another problem that I need help with\r
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document.write( "A car travels 360 miles at a certain speed. If the speed had been 5mph faster the trip would have been made in 1 hr less time. Find the speed. Thank you. \n" );
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Algebra.Com's Answer #314995 by htmentor(1343)![]() ![]() You can put this solution on YOUR website! A car travels 360 miles at a certain speed. If the speed had been 5mph faster the trip would have been made in 1 hr less time. Find the speed. \n" ); document.write( "================================================================ \n" ); document.write( "Let s = the speed of the car \n" ); document.write( "Let t = the original time \n" ); document.write( "Then the time to travel the 360 miles is: \n" ); document.write( "t = 360/s \n" ); document.write( "If the speed were 5 mph faster, the time [in hrs] would have been: \n" ); document.write( "t - 1 = 360/(s+5) \n" ); document.write( "Using the value for t in the 1st equation gives: \n" ); document.write( "360/s - 1 = 360/(s+5) \n" ); document.write( "Solve for s: \n" ); document.write( "(360 - s)/s = 360/(s+5) \n" ); document.write( "360s + 360*5 - s^2 - 5s = 360s \n" ); document.write( "s^2 + 5s - 1800 = 0 \n" ); document.write( " \n" ); document.write( "Take the positive solution. \n" ); document.write( "s = (-5 + 85)/2 = 40 \n" ); document.write( "So the speed of the car is 40 mph \n" ); document.write( " |