document.write( "Question 473350: During the first part of a trip, a canoeist travels 94 miles at a certain speed. The canoeist travels 15 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 4 hours. What was the speed on the FIRST part of the trip? What was the speed on the SECOND part of the trip?
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document.write( "(type an integer or a decimal. Round to the nearest hundredth)
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Algebra.Com's Answer #324605 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! During the first part of a trip, a canoeist travels 94 miles at a certain speed. \n" ); document.write( "dist = 94 miles ; rate = x mph ; time = 94/x hrs \n" ); document.write( "------------------------------------\r \n" ); document.write( "\n" ); document.write( "The canoeist travels 15 miles on the second part of the trip at a speed 5 mph slower. \n" ); document.write( "dist = 15 miles ; rate = x-5 ; time = 15/(x-4) hrs \n" ); document.write( "---------------------------------------\r \n" ); document.write( "\n" ); document.write( "The total time for the trip is 4 hours. \n" ); document.write( "time + time = 4 hrs \n" ); document.write( "94/x + 15/(x-5) = 4 \n" ); document.write( "--- \n" ); document.write( "94(x-4) + 15x = 4x(x-5) \n" ); document.write( "94x-376 + 15x = 4x^2-20x \n" ); document.write( "109x - 376 = 4x^2-20x \n" ); document.write( "--- \n" ); document.write( "4x^2-129x+376 = 0 \n" ); document.write( "x = 29 mph (1st leg speed) \n" ); document.write( "x-5 = 24 mph (2nd leg speed \n" ); document.write( "========= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "What was the speed on the FIRST part of the trip? What was the speed on the SECOND part of the trip? \n" ); document.write( " \n" ); document.write( " |