SOLUTION: The current in a stream moves at a speed
of 4 mph. A boat travels 5 mi upstream and 13 mi downstream
in a total time of 2 hr. What is the speed of the boat in still water?
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Question 876967: The current in a stream moves at a speed
of 4 mph. A boat travels 5 mi upstream and 13 mi downstream
in a total time of 2 hr. What is the speed of the boat in still water?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the boat in still water
Going upstream:
(1)
Going downstream:
(2)
and
(3)
-----------------------
(1)
and
(2)
-------------------------
By substitution:
(3)
Multiply both sides by
(3)
(3)
(3)
(3)
(3)
(3)
The speed of the boat in still water in 9 mi/hr
--------------
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
and
(3)
(3)
OK
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