Ego-wise, two things are important to engineers:

• How smart they are.
• How many cool devices they own.

The fastest way to get an engineer to solve a problem is to declare that the problem is unsolvable. No engineer can walk away from an unsolvable problem until it's solved. No illness or distraction is sufficient to get the engineer off the case. These types of challenges quickly become personal - a battle between the engineer and the laws of nature.