Jack Wants To Measure The Distance Between His Scout Camp And Another…

Jack wants to measure the distance between his scout camp and another camp upstream. He can paddle his kayak at a rate of 5 mi/hr in still water, and the rate of the river is 3 mi/hr. If it takes Jack 10 hr to paddle to the camp and back, how far is the camp?

10 mi

16 mi

18 mi

80 mi

none of the above

➳ NONE OF THE ABOVE

Let’s call the distance between the two camps “d“.

We know that Jack paddles at a rate of 5 mi/hr in still water, but he’s also going against the current of the river, which is flowing at a rate of 3 mi/hr.

So his effective speed (relative to the ground) is 5 – 3 = 2 mi/hr.

On the way to the other camp, Jack is paddling with the current, so his effective speed is 5 + 3 = 8 mi/hr.

The time it takes him to get there is given as 10 hours, so we can set up the equation:

  • d/8 = 10

Solving for d, we get:

  • d = 80 miles

So the distance between the two camps is 80 miles.

Now, on the way back, Jack is paddling against the current, so his effective speed is 5 – 3 = 2 mi/hr.

The time it takes him to get back is also 10 hours, so we can set up the equation:

  • d/2 = 10

Solving for d, we get:

  • d = 20 miles

So the distance between the two camps is 20 miles.

But we know that the distance is the same both ways, so we need to average the two distances:

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(d1 + d2)/2 = (80 + 20)/2 = 50

Therefore, the distance between the two camps is 50 miles.

Jack Wants To Measure The Distance Between His Scout Camp And Another…

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