SOLUTION: Hello! I'm having a hard time figuring out how to set up the equations for this problem: A speed boat traveled two hours with a 4km/h current before turning around. The return tri

Question 1015062: Hello! I'm having a hard time figuring out how to set up the equations for this problem:
A speed boat traveled two hours with a 4km/h current before turning around. The return trip against the same current took 3 hours. Find the speed of the boat in still water.
Thanks for your help!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = distance of the one-way trip in km
Let = the speed of the boat in still water in km/hr
--------------------
Equation for traveling with the current:
(1)
Equation for traveling against the current:
(2)
---------------------
(1)
(1)
and
(2)
(2)
--------------------
Add (1) and (2)
(1)
(2)
-------------------

and
(1)
(1)
(1)
The speed of the boat in still water is 20 km/hr
-----------------
check:
(1)
(1)
(1)
(1)
OK
(2)
(2)
(2)
(2)
OK
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