SOLUTION: A boy can row a boat a constant rate of 5 mi/hr in still water. He rows upstream 28 minutes and then travels downstream returning to his starting point in another 12 minutes. upstr
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Question 993248: A boy can row a boat a constant rate of 5 mi/hr in still water. He rows upstream 28 minutes and then travels downstream returning to his starting point in another 12 minutes. upstream net speed equals 5 - x miles per hourand downstream net speed equals 5 plus x miles per hourfind the right of the current in miles per hour find the total distance traveled in miles
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
min
hr
and
min
hr
------------------
Equation for rowing upstream:
(1)
Equation for rowing downstream:
(2)
---------------------------
(1)
and
(2)
------------------------
Substitute (1) into (2)
(2)
Multiply both sides by
(2)
(2)
(2)
----------------
The speed of the current is 2 mi/hr
----------------
(2)
(2)
(2)
--------------
The 2-way distance is
2.8 mi total distance traveled
-------------------------
check:
(1)
(1)
(1)
(1)
OK
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