Omar paddles a canoe downstream at a rate of 5 mi/hr. The stream is flowing at a rate of 12 mi/hr. What is the actual
velocity of the canoe?
A: 5 mi/hr, downstream
B: 7 mi/hr, downstream
C: 12 mi/hr, downstream
D: 17 mi/hr, downstream

Respuesta :

Answer:

The answer would be D: 17 MPH, downstream.

Answer:

The actual  velocity of the canoe is 17 mi/hr in downward direction.  

Explanation:

It is given that,

Velocity of canoe, [tex]v_c=5\ mi/hr[/tex] (downstream)

Velocity of stream, [tex]v_s=12\ mi/hr[/tex]    

We need to find the actual velocity of the canoe. Let it is equal to v. As it is clear that both velocities are in same direction. So, the actual velocity of the canoe is given by the sum of velocity of canoe and the stream.

[tex]v=v_c+v_s[/tex]

[tex]v=5+12[/tex]

v = 17 mi/hr

Since, the velocity is positive. It means it is in downstream direction. So, the correct option is (d) "17 mi/hr, downstream".

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