SOLUTION: it takes a boat 2 hours to travel 24 miles downstream and 3 hours to travel 18 miles upstreat. what is the speed of the boat in still water and of the current river?
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Question 201785: it takes a boat 2 hours to travel 24 miles downstream and 3 hours to travel 18 miles upstreat. what is the speed of the boat in still water and of the current river?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = speed of boat in still water
Let = speed of current
Upstream:
Speed is
Downstream:
speed is
given:
------------------
(1)
(2)
and
(1)
(2)
Multiply both sides of (1) by
Multiply both sides of (2) by
(1)
(2)
Add (1) and (2)
And, from (1),
The speed of the boat in still water is 9 mi/hr
The speed of the current is 3 mi/hr
check:
(1)
(2)
and
(1)
(2)
OK
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