Find the speed of the tugboat without a current and the speed of the current.

The speed of the tugboat is what in mph? And what is the speed of the current in mph? (Simplify your answer.)

Find the speed of the tugboat without a current and the speed of the current.

The speed of the tugboat is what in mph? And what is the speed of the current in mph? (Simplify your answer.)

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Let x be the speed of tugboat without a current and y be the speed of the current.

Upstream speed is "x-y" (because of the stream resistance) and the downstrean speed is "x+y" (the stream helps to move faster). According to the text

20(x-y) = 160

10(x+y) = 160

Simplify the system of these two equations dividing both sides of the firsdt equation by 20 and the second one by 10. We will obtain

x-y = 8

x + y = 16

Addition of two equations gives 2x = 24 or x =12. Consequently y = 12 - 8 = 4 or 16-12 =4.

Summarize: x= 12 y = 4.