SOLUTION: A fisherman can row a boat 8 km downstream and return in 100 minutes.If the speed of the stream is 2 km per hour.Find the speed of the stream

Question 696141: A fisherman can row a boat 8 km downstream and return in 100 minutes.If the speed of the stream is 2 km per hour.Find the speed of the stream
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I think this should read:
"A fisherman can row a boat 8 km downstream and return in 100 minutes.If the speed of the stream is 2 km per hour.Find the speed of the boat in still water."
Am I right? If so,
Let = the speed of the boat in still water in km/hr
Let = the time to go downstream
= fisherman's speed going down stream in km/hr
= fisherman's speed going upstream in km/hr
Convert min to hours
hrs
---------------------
Equation going downstream:
(1)
Equation going upstream:
(2)
--------------------------
(1)
Substitute (1) into (2)
(2)
(2)
Multiply both sides by
(2)
(2)
(2)
Use quadratic formula

( can't use the negative square root )

The speed of the boat in still water is 10 km/hr
check answer:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
(2)
OK

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