Question

A man travels at 3 mph in still water. If the current’s velocity is 1 mph, it takes 3 hours to row to a place and come back. How far is the place?​

Answer 1

Answer:

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Explanation:

Let the distance be ‘d’ miles.

Time taken to cover the distance upstream + Time taken to cover the distance downstream = 3

Speed upstream = 3-1 = 2 mph

Speed downstream = 3+1 = 4 mph

So, our equation would be d/2 + d/4 = 3 → solving which, we get d = 4 miles.

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Answer 2

Velocity (v) of the stream = 1 mph

Let the distance of the place be x.

So, the amount of time the man takes while going upstream = x/(3-1) = x/2

and, the amount of time the man takes while going downstream = x/(3+1) = x/4

Now, total time = 3 hours = (x/2) + (x/4)

3x/4 = 3

x = 4 miles