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Is the number of workers required to create w1 widgets at r1 widgets per minute less than the number of workers required to create w2 widgets at r2 widgets per minute?

(1) w1 is 20 less than w2.
(2) r1 is 20 less than r2.
 

This question is a part of Are You Up For the Challenge: 700 Level Questions collection.­
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can anyone explain clearly why the answer is C?

Bunuel GMATNinja IanStewart chetan2u
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can anyone explain clearly why the answer is C?

Bunuel GMATNinja IanStewart chetan2u

The OA is E. Here is the OE:




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I was wondering if I could use this reasoning for given fraction;
if fraction is less than 1, eg: 1/2 -> 0.5 and if i reduce 0.5 from both numerator and denominator then new fraction 0.5/1.5 -> 1/3 -> 0.33 which is closer to 0 (decreasing)
if fraction is greater than 1, eg: 3/2 -> 1.5 and if i reduce 0.5 from both numerator and denominator then new fraction 2.5/1.5 -> 5/3 -> 1.67 which is away from 1 (increasing)

hence even though we know w2-20 = w1 and r2-20 = r1, we cannot conclusively say if it will be more or less.
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