Problema Solution
A motorboat traveling with the current went 24 mi in 2 h. Traveling against the current, it took 3 h to travel the same distance. Find the rate of the boat in calm water and the rate of the current.
Answer provided by our tutors
We will use the general equation D=RT. From the given information we can write:
With current:
24=(r+c)(2)
Against current:
24=(r-c)(3)
Where 'r' is the rate of the boat and 'c' is the rate of the current. Using Algebrator to solve for 'a' and 'c', we get:
c=2mi/hr
r=10mi/hr