SOLUTION: Kara floats from A to B at 6 km/h. She returns by motorboat at 18km/h. The float trip is 4 hours longer than the motorboat trip. How far is it from A to B?

Question 152557: Kara floats from A to B at 6 km/h.
She returns by motorboat at 18km/h.
The float trip is 4 hours longer than the motorboat trip.
How far is it from A to B?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Kara floats from A to B at 6 km/h.
She returns by motorboat at 18km/h.
The float trip is 4 hours longer than the motorboat trip.
How far is it from A to B?
:
We know the speed of the current = 6 km/hr
We know the speed of the boat on the return trip; = 18 km/hr (not in still water)
:
Let t = time of the boat trip
then
(t+4) = time floating
:
Distance of both trip is the same, write a dist equation; dist = speed * time
:
18t = 6(t+4)
18t = 6t + 24
18t - 6t = 24
12t = 24
t =
t = 2 hrs on the boat, and 6 hr on the river
:
Find the distance
6 * 6 = 36 km A to B
or
18 * 2 = 36 km B to A

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