Problema Solution
A boat travels 24 miles upstream in 3 hours. It takes 3 hours to go 36 miles downstream.
Write 2 linear equations that model this situation.
What is the speed of the boat in still water?
What is the speed of the current?
Answer provided by our tutors
Let speed of the boat=S
Speed of current=C
In upstream resultant speed of boat= (S-C)
in 3 hour it travels =3(S-C)=24 miles
or (S-C)=8 -----------(eq1)
In downstream resultant speed of boat= (S+C)
in 3 hour it travels =3(S+C)=36 miles
or (S+C)=12 -------------(eq2)
Solving S=10 and C=2