SOLUTION: A boat takes a trip upriver against the current in 6 hours. Coming back down river, the boat
can travel 6 mph faster and makes the trip in 4 hours. What is the speed of the boat
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Question 760024: A boat takes a trip upriver against the current in 6 hours. Coming back down river, the boat
can travel 6 mph faster and makes the trip in 4 hours. 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 in mi/hr
Let = the speed of the current in mi/hr
= the speed of the boat going upriver
= the speed of the boat going downriver
Let = the one-way distance the boat travels
------------------
Going upriver:
(1)
Going downriver:
(2)
and, also given:
(3)
---------------------
(3)
(3)
(3) mi/hr
-------------------
By substitution:
(2)
(2)
(2)
(2)
(2)
The speed of the boat in still water is 15 mi/hr
check:
(1)
(1)
(1) mi
and
(2)
(2)
(2) mi
OK
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