Problema Solution
Alvin paddled for 4 hours with a 4-km/h current to reach a campsite. the return trip against the same current took 8 hoursz find the speed of the boat in still water
Answer provided by our tutors
First, lets write some equations from the given information using the general equation D=RT (distance=rate*time):
With Current:
D=(R+4)(4 hours)
Where 'R' is the rate of the boat in still water and 'D' is the distance traveled.
Against Current:
D=(R-4)(8 hours)
Where 'R' is the rate of the boat in still water and 'D' is the distance traveled (This is the same as before).
Using Algebrator to solve for 'R' and 'D', we get:
D=64 km
R=12 km/h