# At noon, ship A was 14 nautical miles due north of ship B.  Ship A was sailing south at 14 knots (nautical miles per hour; a nautical mile is 2000 yards) and continued to  do so all day.  Ship B was sailing east at 7 knots and continued to do so all day.  The visibility was 5 nautical miles.  Did the ships ever sight each other?

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At noon, ship A was 14 nautical miles due north of ship B.  Ship A was sailing south at 14 knots (nautical miles per hour; a nautical mile is 2000 yards) and continued to  do so all day.  Ship B was sailing east at 7 knots and continued to do so all day.  The visibility was 5 nautical miles.  Did the ships ever sight each other?

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Step 1

Let the two ships meet each other after time t. The diagrammatic representation of the given problem is shown below.

Step 2

The distance between them is evaluated as follows.

Step 3

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