On a sunny summer day, you are taking a scenic boat ride from Stein am Rhein, Switzerland, to Schaffhausen, down the Rhein River. This nonstop trip takes 40 minutes, but the return trip to Stein, upstream, will take a full hour. Back in Stein, you decide to stay on the boat and continue on to Constance, Germany, now traveling on the still waters of Lake Constance.

How long will this nonstop trip from Stein to Constance take?

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

Let us suppose the distance between Stein to Constance as d:

Then according to the distance formula, we have:

Distance = Speed * Time

Now, let the velocity of boat be v, and the velocity of water be x.

To go from Stein to Schaffhausen it takes 40 minutes. This is represented as:

d = (v + x) (40) equation 1

To go from Schaffhausen to Stein it takes 60 minutes, this is represeted as:

d = (v - x)(60) equation 2.

Divide the equation 1 and equation 2 wegwt thw following:

3v - 3x = 2v + 2x

v = 5x

Substitute this value in the distance formula:

d = (5x + x) (40)

d = 240x

d/ x = 240

X can be written as v/5, substitute this value in the above equation we have:

d/ v = 48 minutes.

Hence, nonstop trip from Stein to Constance will take 48 minutes.

Learn more about distance here:

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