Teaser 2480: [I saw three ships]

From The Sunday Times, 4th April 2010 [link]

At the start of the computer war game Midway, the three Japanese aircraft carriers Akagi, Kaga and Soryu are in positions 120 kilometres from each other. At a signal, all three ships set sail at the same speed. Akagi always sails directly towards Kaga until they meet. Similarly, Kaga always sails towards Soryu, whilst Soryu always sails towards Akagi.

How far does Akagi sail before she meets Kaga?

This puzzle was originally published with no title.

[teaser2480]