Data Sufficiency

BTGmoderatorDC wrote:Working together, Machine A and Machine B can produce a total of 200 widgets in 4 hours. How many hours would it take Machine A, working alone, to produce 200 widgets?

(1) Working alone, Machine B takes 5 hours to produce 50 widgets.

(2) Machine A can produce 4 widgets in the same amount of time it takes Machine B to produce 1 widget

Since A+B take 4 hours to produce 200 widgets, the combined rate for A+B = w/t = 200/4 = 50 widgets per hour.

To determine A's time to produce 200 widgets, we need to know A's rate.
Question stem, rephrased:
What is A's rate?

Statement 1:
Since B takes 5 hours to produce 50 widgets, B's rate = w/t = 50/5 = 10 widgets per hour.
Thus, A's rate = (rate for A+B) - (B's rate) = 50-10 = 40 widgets per hour.
SUFFICIENT.

Statement 2:
For every 1 widget produced by B, A produces 4 widgets.
Thus:
Of every 5 widgets produced when A+B work together, A produces 4 widgets, with the result that A produces 4/5 of the hourly number of widgets.
Since the combined rate for A+B = 50 widgets per hour, we get:
A's rate = (4/5)(50) = 40 widgets per hour.
SUFFICIENT.

The correct answer is D.