Answer:
Current Speed = 2 miles per hour
Step-by-step explanation:
Let speed of boat be x (or 44)
and speed of current be c
With current, the speed is x + c
against current the speed would be x - c
We know D = RT
D is distance
R is Rate
T is time
We can write 2 equations as:
(x + c)t = 276
and
(x - c)t = 252
Replacing x with 44, we get:
(44 + c) * t = 276
(44 - c) * t = 252
We can solve for t in both and equate them together and find c (speed of current):
t = 276/(44+c)
t = 252/(44-c)
Now, we have:
[tex]\frac{276}{44+c}=\frac{252}{44-c}\\276(44-c)=252(44+c)\\12,144-276c=11,088+252c\\1056=528c\\c=2[/tex]
The speed of current is 2 mph
