Did the ships ever sight each other?

Question

At noon, ship A was 15 nautical miles due north of ship B. Ship A was sailing south at 15 knots and continued all day. Ship B was sailing east at 6 knots all day. The visibility was 5 nautical miles. Did the ships ever sight each other?

Answer 1

Ship A is sailing south at 15 knots, so in one hour it has moved to where ship B was at the begining of this problem. Meanwhile ship B has sailed 6 miles away to the east.
Visibility is 5 miles

So ship B is one mile out of range of ship A.

Answer, no.

Draw it out on a piece of paper:

A


}15 miles

B

then

A--------------------B
^
6 miles

Answer 2

Depends if anyone on deck on either ship was keeping watch. Did your teacher include that detail?