SOLUTION: In 6 hours a boat, traveling with the current, covers 20 more mi than in 10 hours, traveling against the current. What is the speed of the current if the speed of the boat in still
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Question 1011029: In 6 hours a boat, traveling with the current, covers 20 more mi than in 10 hours, traveling against the current. What is the speed of the current if the speed of the boat in still water is 15 mph? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = the speed of the current in mi/hr = the speed of the boat going with the current = the speed of the boat going against the current
Let = the distance in miles traveled against the current = the distance in miles traveled with the current
----------------------------
Equation for going with the current:
(1)
Equation for going against the current:
(2)
--------------------------
(1)
(1)
and
(2)
(2)
---------------------
Subtract (1) from (2)
(2)
(1)
---------------------
The speed of the current is 5 mi/hr
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK
