document.write( "Question 581351: During the first part of a trip, a canoeist travels 44 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 2 hrs. What was the speed on each part of the trip? \n" ); document.write( "
Algebra.Com's Answer #371586 by stanbon(75887)\"\" \"About 
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During the first part of a trip, a canoeist travels 44 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 2 hrs. What was the speed on each part of the trip?
\n" ); document.write( "----------
\n" ); document.write( "1st Part DATA:
\n" ); document.write( "distance = 44 miles ; rate = x mph ; time = d/r = 44/x hrs
\n" ); document.write( "-------------------
\n" ); document.write( "2nd part DATA:
\n" ); document.write( "distance = 15 miles ; rate = (x-5)mph ; time = d/r = 15/(x-5)
\n" ); document.write( "-------------------
\n" ); document.write( "Equation:
\n" ); document.write( "time + time = 5 hrs
\n" ); document.write( "44/x + 15/(x-5) = 5
\n" ); document.write( "------
\n" ); document.write( "Multiply thru by x(x-5) to get:
\n" ); document.write( "44(x-5) + 15x = 5x(x-5)
\n" ); document.write( "44x - 220 + 15x = 5x^2-25x
\n" ); document.write( "------
\n" ); document.write( "59x-220 = 5x^2-25x
\n" ); document.write( "5x^2 - 69x + 220 = 0
\n" ); document.write( "Usable solution:
\n" ); document.write( "x = 8.8 mph (1st part rate)
\n" ); document.write( "x-5 = 3.8 mph (2nd part rate)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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