word problem

Question

Every weekend for 48 hours a law firm backs up all client files by scanning and uploading them to a secure remote server. On average the size of each client file is 2.5 gigabytes. The law firm's computer can upload the scans at a rate of 5.25 megabytes per second. What's the maximum number of client files the law firm can back up each weekend?

Answer 1

Hi Anna,

 

File size = 2.5 GB = 2500 MB

Rate of upload = 5.25 MB/s

Total time given for uploads = 48 hours = 48*60 = 2880 minutes = 2880*60 = 172800 seconds

 

2500MB / 5.25MB/s = 476.19 seconds to upload one client file

 

172800 seconds / 475.19 seconds/client file = 362.88 files

 

The maximum number of files the firm can upload in a weekend, is 362 files.  The .88 represents the 363rd file.  The upload on that file will begin but will not be completed in the 48 hours given.