While working alone at their constant rates, computer X can process 240 files in 4 hours, and computer Y can process 240 files in 6 hours. If all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process a total of 240 files?  Pick one:
A) 2
B) 2.2
C) 2.4
D) 2.6
E) 2.8
Both computers together process files at a rate of 240/4 + 240/6 = 60+40= 
<gadget id="calculator">60+40</gadget>
<output>100</output>
100 files per hour.   The time required to process 240 files is  240/100= 
<gadget id="calculator"> 240/100</gadget>
<output>12/5 = around 2.4</output>
2.4 hours   The answer is 2.4.
<result>C</result>
While working alone at their constant rates, computer X can process 240 files in 4 hours, and computer Y can process 240 files in 6 hours. If all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process a total of 240 files?