SOLUTION: it took a boat 2 hours to reach town A going upstream. The way back 1 hour and 20 minutes. What is the speed of the boat in still water if the speed of the stream is 3 MPH

Question 1051683: it took a boat 2 hours to reach town A going upstream. The way back 1 hour and 20 minutes. What is the speed of the boat in still water if the speed of the stream is 3 MPH
Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the boast in still water
Let = the one-way distance traveled
--------------------------
Equation for going upstream:
(1)
Equation for going downstream:
(2)
-----------------------------
By substitution:
(2)
(2)
(2)
(2)
(2)
The speed of the boat in still water is 15 mi/hr
----------------------
check answer:
(1)
(1)
(1)
and
(2)
(2)
(2)
OK
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
It took a boat 2 hours to reach town A going upstream. The way back 1 hour and 20 minutes. What is the speed of the boat in still water if the speed of the stream is 3 MPH
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Upstream DATA:
time = 2 hrs ; rate = b-3 mph ; dist = 2(b-3) = 2b-6 miles
----
Downstream DATA:
time = (4/3) hrs ; rate = b+3 mph ; dist = (4/3)(b+3) = (4/3)b + 4 miles
---------------------
Equation:
dist up = dist down
2b-6 = (4/3)b + 4
----
(2/3)b = 10
b = 15 mph (speed of the boat in still water)
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Cheers,
Stan H.
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