SOLUTION: A riverboat cruise upstream on a river, takes 8 hr and covers 224 mi. The return trip downstream with the current takes only 7 hr. Find the speed of the riverboat in still water an

Question 927488: A riverboat cruise upstream on a river, takes 8 hr and covers 224 mi. The return trip downstream with the current takes only 7 hr. Find the speed of the riverboat in still water and the speed of the current.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the boat in still water in mi/hr
Let = the speed of the current in mi/hr
-----------------
= the speed of the boat going upstream
= the speed of the boat going downstream
-----------------
Equation for going upstream:
(1)
Equation for going downstream:
(2)
-----------------------
(1)
(2)
-----------------------
(1)
(2)
Add the equations
--------------------

--------------
(1)
(1)
---------------
The speed of the boat in still water is 30 mi/hr
The speed of the current is 2 mi/hr
---------------
check:
(1)
(1)
OK
You can check other equation

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