document.write( "Question 142315This question is from textbook Intermediate Algebra
\n" ); document.write( ": During the first part of a trip, a canoeist travels 54 miles at a certain speed. The canoeist travels 22 miles on the second part of the trip at a speed of 5 mph slower. The total time of the trip is 3 hours. What was the speed on each part of the trip? \n" ); document.write( "
Algebra.Com's Answer #103619 by stanbon(75887)\"\" \"About 
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During the first part of a trip, a canoeist travels 54 miles at a certain speed. The canoeist travels 22 miles on the second part of the trip at a speed of 5 mph slower. The total time of the trip is 3 hours. What was the speed on each part of the trip?
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\n" ); document.write( "1st Part DATA:
\n" ); document.write( "distance = 54 ; rate = x mph ; time = 54/x hrs
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\n" ); document.write( "2nd Part DATA:
\n" ); document.write( "distance = 22 ; (x-5) mph ; time = 22/(x-5) hrs
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\n" ); document.write( "EQUATION:
\n" ); document.write( "time + time = 3 hrs
\n" ); document.write( "(54/x) + (22/(x-5)) = 3
\n" ); document.write( "54x-270 + 22x = 3x(x-5)
\n" ); document.write( "76x -270 = 3x^2-15x
\n" ); document.write( "3x^2 - 91x + 270 = 0
\n" ); document.write( "x = 27 mph(speed on 1st part)
\n" ); document.write( "x-5 = 22 (speed on 2nd part)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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