Machines \(A\) and \(B\) each produce tablets at their respective constant rates. Machine \(A\) has produced \(30\) tabl

[Vincen]

Machines \(A\) and \(B\) each produce tablets at their respective constant rates. Machine \(A\) has produced \(30\) tablets when Machine \(B\) is turned on. Both machines continue to run until Machine \(B\)’s total production catches up to Machine \(A\)’s total production. How many tablets does Machine \(A\) produce in the time that it takes Machine \(B\) to catch up?

(1) Machine \(A\)’s rate is twice the difference between the rates of the two machines.
(2) The sum of Machine \(A\)’s rate and Machine \(B\)’s rate is five times the difference between the two rates.

Answer: D

Source: Manhattan GMAT