While working alone at their constant rates computer X can process 240 files in 4 hours, and comp Y 240 files in 8 hrs. If all files processed by these comp. are the same size how long would it take the two comp. working at the same time at their respective constant rates, to process a total of 240 files?

A. 2hrs

B. 2hrs 20 min

C. 2hrs 40 min

D. 6hrs

E. 6hrs 20 min

Question

Computers and Technology

Dixie Gates

Yesterday, 05:41

While working alone at their constant rates computer X can process 240 files in 4 hours, and comp Y 240 files in 8 hrs. If all files processed by these comp. are the same size how long would it take the two comp. working at the same time at their respective constant rates, to process a total of 240 files?

A. 2hrs

B. 2hrs 20 min

C. 2hrs 40 min

D. 6hrs

E. 6hrs 20 min

+2

Answers (2)

Know the Answer?

Remy · Answer 1

2hrs 40 min

Kasen Mcfarland · Answer 2

Answer: c) 2hrs 40 min

Explanation:

Rate of working of Computer X is = 240 files / (4 * 60min)

= 1 file / min

Rate of working of Computer Y is = 240files / (8*60min)

= 0.5 file/min

The combined rate for computer X & Y is = 1 + 0.5 = 1.5 file / mins.

Therefore, time taken to process 240 files is = 240/1.5

= 160mins

= 2hrs 40mins