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OK, I'm gonna call BS on this one then. There are multiple possible solutions, and several of them have been mentioned here. Puzzles are fun until they become akin to word problems in school, where 10 answers may be correct but you get flunked unless you give the answer the prof wants. At this point, this puzzle is rewarding mind reading ability rather than problem solving ability. Only one pump? How could we possibly know that from the original question? There are so many viable solutions to this puzzle that it's now a matter of luck rather than intelligence and critical thinking ability that will determine who "solves" it.
i.e. Use the high-output pump and get off your lazy ass and clean the damn filter!
Run the pumps in parallel
Swap filters
Swap outputs
Go outside, dig a deep pit far away from the house, and run the pipe down into it. The rise is then lessened, and the low-output pump can do it.
Maybe it's just me, but I prefer problems that reward thinking rather than guessing.
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