SOLUTION: during th first part of a trip a canoeist travels 37 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 ti

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Question 617203: during th first part of a trip a canoeist travels 37 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 for the trip is 3 hrs. what was the speed on each part of the trip?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the time for the 1st trip
= time for the 2nd trip
Let = the speed for the 1st trip
= the speed for the 2nd trip
-------------------
Ist rip:
(1)
2nd trip:
(2)
----------------------------------
(2)
From (1):

(2)
Multiply both sides by
(2)
(2)
(2)
Use quadratic formula to solve for

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