HKD1710 wrote:
It takes Sarah as long to paddle 10 miles downstream on a river flowing at 3 mph as it does to paddle 12 miles down a river flowing at 4 mph. How fast does Sarah paddle in still water?
A) 4 mph
B) 3 1/2 mph
C) 3 mph
D) 2 1/2 mph
E) 2 mph
We can let Sarah’s rate of paddling in still water = r. When the river is flowing at 3 mph downstream, her rate is r + 3, and when the river is flowing at 4 mph downstream, her rate is r + 4.
Recall that distance = rate x time, and thus time = distance/rate.
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