Answer:
4 2/3 mph
Step-by-step explanation:
A boat travels 15 miles upstream and 19 miles downstream.
If the boat travels 8 mph in still water, find the speed of the current if the total trip takes 6 hours.
Let c = the speed of the current
then
(8+c) = effective speed downstream
and
(8-c) = effective speed upstream
Write a time equation: time = dist/speed
Upstream time + downstream time = 6 hrs
[tex]\frac{15}{8-c} +\frac{19}{8+c}=6[/tex]
120+15c+152-19c=384-6c²
6c²-4c-112=0
c=4 2/3
