SOLUTION: Kara floats from Barber Park to Eagle Island at 6 km/h. She returns by motorboat at 18 km/h. The float trip takes 4 hours longer than the motorboat trip. How many kilometers

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Question 38369: Kara floats from Barber Park to Eagle Island at 6 km/h.
She returns by motorboat at 18 km/h.
The float trip takes 4 hours longer than the motorboat trip.
How many kilometers is it from Barber Park to Eagle Island?
Answer by fractalier(2101) About Me  (Show Source):
You can put this solution on YOUR website!
Remember D = RT, distance = rate*time.
Let the time for the initial trip be t.
The return trip time is t - 4.
The distances are equal so
6t = 18(t - 4)
6t = 18t - 72
-12t = -72
t = 6 hours
Thus the distance is 6t or 36 km.