Asked by carl
A boat can travel 114 miles upstream
in the same time that it can travel 186 miles downstream.
If the speed of the current is 6 miles per hour,
find the speed of the boat without a current.
in the same time that it can travel 186 miles downstream.
If the speed of the current is 6 miles per hour,
find the speed of the boat without a current.
Answers
Answered by
carl
any help would be greatly appreciated :)
Answered by
Henry
Speed of boat in still water = V mi/h.
Speed of boat upstream = V-6 mi/h.
Speed of boat down stream = V+6 mi/h.
(V-6)t = 114 mi.
Eq1: Vt - 6t = 114.
(V+6)t = 186 mi.
Eq2: Vt + 6t = 186.
Add Eq1 and Eq2 and get:
2Vt = 300,
Vt = 150.
In Eq1, substitute 150 for Vt:
150 - 6t = 114,
-6t = 114 - 150 = -36,
t = 6h.
In Eq2, substitute 6 for t:
6V + 6*6 = 186,
6V + 36 = 186,
6V = 150,
V = 25mi/h.
Speed of boat upstream = V-6 mi/h.
Speed of boat down stream = V+6 mi/h.
(V-6)t = 114 mi.
Eq1: Vt - 6t = 114.
(V+6)t = 186 mi.
Eq2: Vt + 6t = 186.
Add Eq1 and Eq2 and get:
2Vt = 300,
Vt = 150.
In Eq1, substitute 150 for Vt:
150 - 6t = 114,
-6t = 114 - 150 = -36,
t = 6h.
In Eq2, substitute 6 for t:
6V + 6*6 = 186,
6V + 36 = 186,
6V = 150,
V = 25mi/h.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.