Hi, Miss Mae, glad to hear from you again after quite a long while!
Both of the sentences "I travel
for work a lot" and "I travel
to work a lot" are grammatically and semantically correct, but they mean different things altogether. They dramatically illustrate the power of particular prepositions to give a different sense or meaning to a prepositional phrase using the same operative verb.
IMAGE CREDIT: ADAPTED FROM QUOTELOAD.COMIn the case of "I travel
for work a lot," the sense is that the speaker's regular job demands a lot of trips, transport, or vehicular movements to get to so many different destinations and then to get back home afterwards, as the job of a route salesman who has to make many sales calls every day.
On the other hand, the sense of "I travel
to work a lot" is that the speaker's regular workplace is so far out from his or her residence that he or she has to make several changes of transport to get there (cab or jeepney or tricycle, then by bus or train or place, then back by cab or jeepney or tricycle again), as in a workplace like a suburban or provincial factory scores or hundreds of kilometers away.
It might take several seconds or even a few minutes for that difference in sense to sink in, of course, but there it is.
