A boat traveled 336 miles downstream and back. The trip downstream took 12 hours. The trip back took 14 hours. What is the speed of the boat in still water? What is the speed of the current?

speed of a boat when it goes downstream is 336/12 = 28 mi/h

speed of a boat when it goes upstream is 336/14 = 24 mi/h

Let v is speed of the boat in still water and x is speed of the current. Then,

v + x = 28

v - x = 24

Solve the system for v and x and get v = 26 mi/h, x = 2 mi/h

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