Question from DATQvault (exam 4, #2)

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Choose the best reagent to effect the following reaction:

A. (CH3)2CHCH2OH
B. NaOEt
C. (CH3)3CONa
D. HOH
E. CH3CH2OH

It says the correct answer is B, but I don't understand why it can't go the E1 route and be option E (CH3CH2OH)