Efficiency improvements (both in software and other areas) is the usual rationale. For example, this article[1] lays out some hypothetical economic benefits.
> I would not only have to keep track of the sun set and rise shift but as well as the working hours in that particular part of the world
The same issues exist currently when traveling. Instead of looking up the timezone offset, you would look up the sunrise offset. Any additional information (e.g. work schedule differences) are still a factor today; when visiting Spain you have to learn that dinners are late and siestas exist.
But this is not "my argument". While I think it would be an interesting experiment, I expect the transition costs of moving to a single global time to far outweigh any marginal efficiency gains for many, many years. What we have now is generally good enough (though if I had the power I would get rid of the sub-hour offsets and daylight savings time).
[1]: http://thejakartaglobe.beritasatu.com/archive/changing-times...