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4. A river tour boat is going down a stream to a park for lunch and then back up. It is a 60-mile round trip. On
the way to the park, the trip takes 2 hours. The trip on the way back takes 6 hours. Both the boat and water are
moving at a constant rate the whole trip. What would be the speed of the boat in still water?

Respuesta :

jcherry99

Answer:

The speed of the boat in still water is 10 miles / hour

Step-by-step explanation:

The trip there, and the trip back are the same -- 30 miles

Let the rate of the boat = x

Let the rate of the water = y

30 = 2*(x + y)

30 = 6*(x - y)

Divide the top equation by 2

Divide the bottom equation by 6

15 = x + y

5  = x - y              Add the equations together.

20 = 2x                 Divide by 2

20/2 = x

x = 10

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