Question 1194880
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Upstream = against the current (the boat is slowed down)
Downstream = with the current (the boat is sped up)


c = speed of the current
46-c = speed of the boat going upstream
46+c = speed of the boat going downstream
speeds are in mph


48 minutes = 48/60 = 4/5 hour
44 minutes = 44/60 = 11/15 hour


Upstream:
distance = rate*time
d = r*t
d = (46-c)*(4/5)


Downstream:
d = r*t
d = (46+c)*(11/15)


Equate the two right hand sides and solve for c.
(46-c)*(4/5) = (46+c)*(11/15)
12(46-c) = 11(46+c)
552-12c = 506+11c
-12c-11c = 506-552
-23c = 	-46
c = (-46)/(-23)
c = 2
In the second step, I multiplied both sides by 15 to clear out the denominators.


Answer: The current has a speed of exactly 2 mph.
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