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

Question 924458: During the first part of a trip a conoeist travels 22 miles at a certain speed. The canoeist travels 6 miles on the second part of the trip at 5mph slower. The total time for the trip is 3 hours.What is the speed for each part of the trip?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed in mi/hr fpr
the 1st part of the trip
Let = time in hrs for
the 1st part of the trip
---------------------
(1)
and
(2)
------------------------
(2)
(2)
and
(1)
-------------------
(2)
(2)
(2)
(2)
Use quadratic formula

and

The speed for the 1st part is:
(1)
(1)
(1) mi/hr
---------------------
The speed for the 2nd part is:
mi/hr
------------------
check:
(2)
(2)
and
(1)
(1)
(1)
OK

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