The phrase "alternately challenged" is correct and usable in written English.
It can be used to describe a situation where someone faces challenges in a back-and-forth manner or experiences different types of challenges at different times.
Example: "The team was alternately challenged by technical difficulties and tight deadlines throughout the project."
Alternatives: "periodically challenged" or "intermittently faced challenges".
Scientists in 2010 alternately challenged and supported the notion of a dry moon and the role of a single meteorite impact that closed the Cretaceous Period.
In a deeper sense, however, it is a tale of two diseases — one of the mind, one of the body — that alternately challenged their marriage.
Aspen TEDsters were alternately challenged and inspired -- the talks covered everything from self-organizing mini-helicopters to teen gospel choirs, the art of bird nests to energy policy, crowd-sourcing, algorithms to the virtual dissection to the sacred headlands of northern Canada.
I try not to look too closely at reviews before I see a show, and when I go back and read them after the fact, I find myself alternately reassured and challenged, even at times persuaded to see a show differently in retrospect.
Now, five years after the fact, we get Hank: Five Years from the Brink, in which former U.S. Treasury Secretary Henry Hank Paulsonon gives us a play-by-play of how he, Fed Chairman Ben Bernanke and Federal Reserve chairman Timothy Geithner, kept everything from collapsing while alternately massaging and challenging the various egos that ran the nation's largest banks.
After his usual press conference following the speech, at which he alternately charmed and bantered and challenged questions he thought were subpar, Brown was off and running through a series of meetings and appearances.
A1 Berlusconi Rejects Vote Results Prime Minister Silvio Berlusconi of Italy challenged his opponent's wisp of a victory in the divisive national elections, alternately suggesting a recount or a German-style grand coalition government.
When the team met last week for coffee, Ms. Kunnos de Voss alternately described her challenge as "a financial disaster" and "a dream project".
Another question, even more revealing to me, came from people who proclaimed themselves genuine Shanghai natives who wondered, sometimes challenging me, whether these photographs were really taken in their city or, alternately, whether the people in them were "real" Shanghainese.
They challenge and seduce with their brusqueness of surface, inconsistencies of space or scale, emotional ambiguities and alternately frank and improbable accounts of the female form.
Mostly, though, they meet to talk about everyday challenges: dealing with children alternately angry and frightened about the illness; finding the strength to raise them despite it, and coping with the emotions that resonate, years after their diagnoses.
