SOLUTION: During the first part of a canoe trip, covered 75 miles at a certain speed. He then traveled 18 mile at a speed that was 5 slower. If the total time for the canoe trip was 3 hr, wh

Question 159082: During the first part of a canoe trip, covered 75 miles at a certain speed. He then traveled 18 mile at a speed that was 5 slower. If the total time for the canoe trip was 3 hr, what was his speed on each part of the trip?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
For the two parts of the trip:

given:
mi
mi

hr
hr
-----------------------

(1)
and

Note that (given)

from (1)

multiply both sides by

subtract from both sides
divide both sides by

use the quadratic formula

where

mi/hr
Using the (-) sign, the other answer is
mi/hr (makes no sense, too small)
---------------------
check the 1st answer:

mi/hr
----------------------

hr
----------------------
The total time for the trip must be hr

close enough
The speed for the 1st part was 32.1 mi/hr
The speed for the 2nd part was 27.1 mi/hr
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