SOLUTION: 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 tim

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?
(type an integer or a decimal. Round to the nearest hundredth)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
During the first part of a trip, a canoeist travels 94 miles at a certain speed.
dist = 94 miles ; rate = x mph ; time = 94/x hrs
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The canoeist travels 15 miles on the second part of the trip at a speed 5 mph slower.
dist = 15 miles ; rate = x-5 ; time = 15/(x-4) hrs
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The total time for the trip is 4 hours.
time + time = 4 hrs
94/x + 15/(x-5) = 4
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94(x-4) + 15x = 4x(x-5)
94x-376 + 15x = 4x^2-20x
109x - 376 = 4x^2-20x
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4x^2-129x+376 = 0
x = 29 mph (1st leg speed)
x-5 = 24 mph (2nd leg speed
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Cheers,
Stan H.

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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