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A small motor on a fishing boat can move the boat at a rate of 7 mph in calm water. Traveling with the current, the boat can travel 18 mi in the same amount of time it takes to travel 10 mi against the current. Find the rate of the current

Respuesta :

Answer:

Let x represent the rate of the current

d = r*t Or t = d/r

%2812mi%2F%286mph-x%29%29+=+%2824mi%2F%286mph%2Bx%29%29

cross multiply

24*(6-x) =12*(6+x)

12*6 = 36x

2mph = x, the rate of the current

checking our answer

12mi/4mph = 24mi/8mph = 3 hr

Step-by-step explanation: