Posted by carl on Wednesday, August 17, 2011 at 12:48am.
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.
- algebra - carl, Wednesday, August 17, 2011 at 3:10pm
any help would be greatly appreciated :)
- algebra - Henry, Wednesday, August 17, 2011 at 4:19pm
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.
Answer This Question
More Related Questions
- math - River Current A boat can travel 36 miles upstream in the same time that ...
- Algebra - A boat can travel upstream 14 miles in same it can travel downstream 8...
- algebra - 36 Upstream, downstream. Juniorís boat will go 15 miles per hour in ...
- algebra - Show a complete solution. Upstream, downstream. Juniorís boat will go ...
- math - The speed of a river current is 4 mph. IF a boat travels 20 miles ...
- Intermediate Algebra - in still water, a paddle boat averages 10 miles per hour...
- algebra - A boat travel 4 miles upstream with a current of 5 miles per hour. It ...
- Intermediate Algebra Word Problem - A river's current is 4mph. A boat travels 48...
- Math - A boat, which moves at 18 mph in still water, travels 14 miles downstream...
- Algebra - The current of a river moves at 3 miles per hour. It takes a boat 3 ...