SOLUTION: A tugboat goes 180 miles upstream in 15hours. The return trip downstream takes 10 hours. Find the speed of the tugboat without a current and the speed of the current
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Question 630585: A tugboat goes 180 miles upstream in 15hours. The return trip downstream takes 10 hours. Find the speed of the tugboat without a current 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 without a current
Let = the speed of the current
Going upstream:
(1)
Going downstream:
(2)
--------------------
(1)
(1)
(1)
Substitute this into (2)
(2)
(2)
(2)
(2)
(2)
and, since
(1)
(1)
(1)
(1)
(1)
(1)
The speed of the boat without a current is 15 mi/hr
The speed of the current is 3 mi/hr
check answers:
(2)
(2)
(2)
(2)
OK
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