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Find the speed of the current for a boat that moves at 30 mi/h in still water and travels 3 mi downstream in the same time it takes to travel 2 mi upstream.

User Senem
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1 Answer

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The speed of the current is 27.5 mi/h.

Since the boat travels ds downstream in the same time it takes to travel us upstream, we can set the two speed equations equal to each other:

(s + c) * t = (s - c) * t

where t is the time taken to travel both downstream and upstream. We can simplify this equation to:

2s = ds + us

We know that ds = 3 mi and us = 2 mi, so we can substitute these values into the equation:

2s = 3 mi + 2 mi

2s = 5 mi

Now we can solve for s:

s = 5 mi / 2

s = 2.5 mi/h

We know that s = 30 mi/h, so we can set this equal to the equation for s and solve for c:

30 mi/h = 2.5 mi/h + c

c = 30 mi/h - 2.5 mi/h

c = 27.5 mi/h

Therefore, the speed of the current is 27.5 mi/h.

User Vijay Bhandari
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