SOLUTION: going down the river a boat went 10mph. going up the river it only went 2mph. find the current and the speed of the boat if there were no current.

Question 497590: going down the river a boat went 10mph. going up the river it only went 2mph. find the current and the speed of the boat if there were no current.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the current
Let = the speed of the boat in still water
Going downriver, the boat travels at mi/hr
Going upriver, the boat travels at mi/hr
-----------------
given:
going downriver,
(1) mi/hr
going upriver,,
(2) mi/hr
-----------------
(1)
Substitute this into (2)
(2)
(2)
(2)
(2)
The speed of the boat if there is no current is 6 mi/hr
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