Answer
23.1 seconds.
Work Step by Step
The relative speed of approach of the two head-on planes is 2(780 km/h) = 1560 km/h.
If no action were taken, they would collide in a time of $t = \frac{10.0 km}{1560 km/h} = 0.00641 hours$, which is approximately 23.1 seconds.