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On a sunny summer day, you are taking the 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?
you may assume that the boat is traveling at a constant speed relative to the water throughout and that the rhein river flows at a constant speed between stein and schaffhausen. the traveling distance from stein to schaffhausen is the same as from stein to constance.

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We have that for the Question" how long will this nonstop trip from stein to constance take?" it can be said that  this nonstop trip from stein to constance take

  • T=2880s

From the question we are told

  • On a sunny summer day, you are taking the 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?

The Various Distances

Generally the equation for the distance from  stein to schaffhausen    is mathematically given as

d_1=2/3(x+y)

And distance from  schaffhausen to stein

d_2=(x-y)

Therefore

2/3(x+y)=x-y

x=5y

Hence from (x-y)

d_3 =4x/5

Thereofre

Stein to constance

d_3 =4x/5

Where

[tex]Time=\frac{d}{v}[/tex]

T=4/5hrs

T=4/5*60*60

T=2880s

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