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

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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