Five of blue’s cannons are surrounding Red base (T). They are all equally spaced apart, and are 300m from T, however, only cannon B is operational. Cannon B is facing T. Cannon B can turn at angular speed 40 degrees per second, and it takes 0.5 seconds for it to shoot. Cannon C is a Blue Base.

A red missile is moving towards C through point X at 340.29 metres per second. At point X, the red missile is equidistant to cannons A and B. Cannons A and B are 58 degrees right and left, respectively, of X’s direction.

Red base Y is equidistant to cannons A and D. Cannons A and D are 58 degrees left and right, respectively, of the direction YT.

Cannon B must shoot at Red base Y to win the war. Missile X must reach Blue base C to win the war. If Cannon B starts turning at the same time as the red missile passes over point X, one side will win.

**By how many seconds will this side win?**

Give your answer to three decimal places.

*Tip: Don’t round your answer until the end!*

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