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# A tugboat leaves Capetown...

Logan KE7AZ
Member ✭✭

It was reported on Thursday that a tugboat is on its way from Capetown to assist the Bouvet DX team's return. So while you are waiting for your invoice, shipping notice, or delivery of your new FlexRadio, here is a classic brainteaser to pass the time.

A tugboat leaves Capetown to meet a ship that is 1000 miles away when the tugboat leaves. The tugboat averages 11 knots at sea. The Bouvet DX team's ship is travelling at 5mph. The two ships are headed directly toward each other.

Question:

1. How long after leaving Capetown will the tugboat meet the Bouvet DX team's ship?

2. How far from Capetown will the two ships be when they meet?

Extra Credit

Given that the tugboat can tow the Bouvet DX team's ship at 10 knots, how long after the two ships meet will the Bouvet DX team be able to stand on dry land?

Bonus

Do you think your new radio will arrive before or after the Bouvet DX Team makes landfall?

Have fun.

Logan, KZ6O

A tugboat leaves Capetown to meet a ship that is 1000 miles away when the tugboat leaves. The tugboat averages 11 knots at sea. The Bouvet DX team's ship is travelling at 5mph. The two ships are headed directly toward each other.

Question:

1. How long after leaving Capetown will the tugboat meet the Bouvet DX team's ship?

2. How far from Capetown will the two ships be when they meet?

Extra Credit

Given that the tugboat can tow the Bouvet DX team's ship at 10 knots, how long after the two ships meet will the Bouvet DX team be able to stand on dry land?

Bonus

Do you think your new radio will arrive before or after the Bouvet DX Team makes landfall?

Have fun.

Logan, KZ6O

1

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## Answers

statutemiles (not nautical miles),1. 2 days, 8 hours, 38 minutes

2. ~717 miles

EC: 2 days, 14 hours, 17 minutes

B: Long time after; I ordered in September!!

Distance 1000 nm.Ship: 5 knots

Tug: 11 knots

Closure 16 knotsTime of Intersection: 62.5 hours, 2.6 DaysDistance to Intersection 687.5 milesAfter Two Ships MeetSpeed: 10 knots

Arrival: 68.8 hours 2.9 daysTime SavedShip alone: 200.0 hours, 8.3 days (1000 nm)

Towed Ship: 131.3 hours, 5.5 days (2.6 days to intersect + 2.9 days back)

Time Saved 68.8 2.9 daysHAC Div 96 1962-1968.

-Dave

(No, we are not related but live really close to one another).

Converting 11 knots to 12.7 mph

Distance 1000 mi

Speed

Ship 5 mph

Tug 12.7 mph (11 knots) (1.1508 nm to mi )

Closure 17.7 mphTime of Intersection56.6 hours, 2.4 Days(2 days 8 hours 17 minutes 46.902 sec)Distance to Intersection716.9 milesCheckExtra CreditSpeed 10 knots (11.508 mph)

Arrival 71.7 hours (2.596 days - 2 days 14 hours 17 minutes 33.59 sec)Of course we forgot to add the 6 hours they have to wait to disembark.

Extra Extra CreditShip alone: 200.0 hours, 8.3 days

Towed Ship: 128.3 hours, 5.3 days

Time Saved: 71.7 3.0 daysJust sayin...

As a pilot wind is something we fight with regularly. Tugboats and failed DX expedition boats must also consider ocean currents.

Anyway I was sad to see that so much effort and time went into them getting so close. But most important they are safe.

Mark

You are likely the most realistic.. One can never **** U ME that the real world will give you exact numbers...

The goal was to have them run the track as fast as possible with:

a) not falling off

b) not crashing into each other

ALL of us, except for one girl got the problem wrong. Sure we wrote our software and had perfect results on all of our test runs until the day of the test when the instructor oiled up one of the trains.

It was hilarious to watch student after student including myself see our work go up in crashed or flung away trains. Until the one girl got up and hers ran.

She did the one thing the rest of us did not. She measured each trains performance repeatedly between a set of sensors and her algorithm adjusted for the trains response to the velocity command.

It was an eye opener that taught me that nothing is fixed and you had better plan on things being way different as your test runs.

Anyway it was a fun problem and I just had to jump in here.

I am sorry the DXpedition could not continue... And yes hopefully Flex Radios do not ship at 9 mph!

I was going to add +/- 3 dB to all the results.... :-) !

Since this is flex I think you had better make it 6 db!