SOLUTION: a 226 mile trip was taken partly by canoe at an average rate of 8 miles per hour and partly by bicycle at an average rate of 21 miles per hour. The entire trip took 12 hours how l

Question 927012: a 226 mile trip was taken partly by canoe at an average rate of 8 miles per hour and partly by bicycle at an average rate of 21 miles per hour. The entire trip took 12 hours how long did the traveler spend using each mode of transpertation?
This is my last quesion on my homework and i dont know how to set it up . Please help
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = time in hrs spent in canoe
= time in hrs spent on bicycle
-----------------
= distance in miles traveled by canoe
= distance traveled by bicycle
-----------------
In canoe:
(1)
On bicycle:
(2)
----------------------------
Substitute (1) into (2)
(2)
(2)
(2)
(2)
(2)
and

-----------------
2 hrs was spent in the canoe
10 hrs was spent on bicycle
--------------------------
check:
(2)
(2)
(2)
(2)
-----------------
(1)
(1)
(1)
OK

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