Aboat can travel 44mph in still water. if it travels 276 miles with the current in the same length of time it travels 252 miles against the current, what is the speed of the current?

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:

The speed of current is 2 mph