SOLUTION: A fisherman can row against the stream in 20 minutes and return in 15 minutes . Then the speed of the current is?

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Question 773516: A fisherman can row against the stream in 20 minutes and return in 15 minutes . Then the speed of the current is?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
A fisherman can row against the stream in 20 minutes and return in 15 minutes . Then the speed of the current is?
We can't work it unless we know the distance up the river he rowed.
I will assume the distance he rowed is 2 miles.

Since the speed will be in miles per hour we will convert 20 minutes
and 15 minutes to hours: 

20_minutes%2A%28expr%28%281_hour%29%2F%2860_minutes%29%29%29%22%22=%22%2220cross%28minutes%29%2A%28expr%28%281_hour%29%2F%2860cross%28minutes%29%29%29%29%22%22=%22%2220%2F60hour%22%22=%22%221%2F3hour

15_minutes%2A%28expr%28%281_hour%29%2F%2860_minutes%29%29%29%22%22=%22%2215cross%28minutes%29%2A%28expr%28%281_hour%29%2F%2860cross%28minutes%29%29%29%29%22%22=%22%2215%2F60hour%22%22=%22%221%2F4hour

Let the speed of the current = c
Let his rowing speed (if he were in still water) = r
Then his speed against the current is r-c and
his speed with the current is r+c

We make this chart

                     DISTANCE  =  RATE × TIME
--------------------------------------------
Against the stream      2      =  r-c    1%2F3
With the stream         2      =  r+c    1%2F4

2 = (r-c)%281%2F3%29
2 = (r+c)%281%2F4%29

Clear of fractions:
Multiply both sides of the first equation by 3
Multiply both sides of the first equation by 4

 6 = (r-c)(1)
 8 = (r+c)(1)

 6 = r-c
 8 = r+c

Add the two equations term by term:

14 = 2r      (the c's cancel out)
 7 = r

So his rowing speed is 7 miles per hour.

Substitute 7 for r in

 6 = r-c
 6 = 7-c
 c = 1

So the speed of the current is 1 mile per hour.

Edwin