Answer:
Rate of Cruise Boat is 18 miles per hour and Rate of Current is 2 miles per hour
Step-by-step explanation:
Speed of boat is "x"
speed of current is "c"
We also know D = RT
Where D is distance, R is rate, T is time
For Downstream:
D = RT
80 = (x + c)(4)
For Upstream:
80 = (x - c)(5)
The first equation becomes: 20 = x + c
The second equation becomes: 16 = x -c
We add both the equation:
20 = x + c
16 = x - c
36 = 2x
x = 18
And, 20 = x + c, 20 = 18 + c, c = 2
Rate of Cruise Boat is 18 miles per hour and Rate of Current is 2 miles per hour
