During an ice age, the buildup of ice at the poles and the drop in water levels near the equator speed up the Earthâ€™s rotation, <<like a spinning figure skater whose speed increases when her arms are drawn in.<<
(A) like a spinning figure skater whose speed increases when her arms are drawn in
(B) like the increased speed of a figure skater when her arms are drawn in
(C) like a figure skater who increases speed while spinning with her arms drawn in
(D) just as a spinning figure skater who increases speed by drawing in her arms
(E) just as a spinning figure skater increases speed by drawing in her arms
I would eliminate A, B and C from the start. The subject of the main clause is the build up of the ice etc, NOT earth or speed of earth, so you cannot use "like" to compare the subject with the skater (A and C) or the speed of skater (B). Between D and E yo ucan see that E is a complete sentence while D is a noun phrase ("a skater who ...). Normally you use "as" to introduce a complete clause, not a noun phrase. This is why I would choose E.
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keep on knocking, and it will be opened to you.