SOLUTION: During the first part of a trip, a canoeist travels 22 miles at a certain speed. The canoeist travels 6 miles on the second part of the trip at a speed 5 mph slower. The total tim

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: During the first part of a trip, a canoeist travels 22 miles at a certain speed. The canoeist travels 6 miles on the second part of the trip at a speed 5 mph slower. The total tim      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 754537: During the first part of a trip, a canoeist travels 22 miles at a certain speed. The canoeist travels 6 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hours. What was the speed on each part of the trip?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
During the first part of a trip, a canoeist travels 22 miles at a certain speed. The canoeist travels 6 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hours. What was the speed on each part of the trip?
***
let x=speed of 1st part of the trip
x-5=speed of 2nd part of the trip
travel time=distance/speed
..
22%2Fx%2B6%2F%28x-5%29=3
LCD:x(x-5)
22%28x-5%29%2B6x=3x%28x-5%29
22x-110+6x=3x^2-15x
3x^2-43x+110=0
factor:
(3x-10)(x-11)=0
x=10/3 (reject, not reasonable)
or
x=11
x-5=6
speed of 1st part of the trip=11 mph
speed of 2nd part of the trip=6 mph