SOLUTION: a tugboat goes 160 miles upstream in 20 hrs, the return trip downstream takes 5 hrs, what is the speed of the tug boat without the current and what is the speed of the current
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Question 638934: a tugboat goes 160 miles upstream in 20 hrs, the return trip downstream takes 5 hrs, what is the speed of the tug boat without the current and what is 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 without current
Let = the speed of the current
= speed going upstream
= speed going downstream
-----------------------------
Going upstream:
(1)
Going downstream:
(2)
-------------------
(1)
(1)
and
(2)
(2)
--------------
Add (1) and (2)
(1)
(2)
and, since
(1)
(1)
(1)
(1)
The speed of the boat without current is 20 mi/hr
The speed of the current is 12 mi/hr
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
OK
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