# A 9KB file is transferred in 36 seconds. Determine how many seconds it takes to transfer the same

September 30, 2021 | education

| **A 9KB file is transferred in 36 seconds. Determine how many seconds it takes to transfer the same file over a connection that is 1024 bits per second faster.**

1 byte = 8 bits

1 kilobyte = 1024 bytes

1 kilobyte = 8192 bits

Given: file size 9 kilobytes, transfer time 36 seconds.

1. Determine the connection speed: 9/36 = 0.25 kilobytes per second.

2. Determine the connection speed by 1024 bits more in kilobytes:

because 1 kilobyte = 8192 bits, then 1024 bits = 1024/8192 = 0.125 kilobytes and therefore the speed of the new connection is 0.25 + 0.125 = 0.375 kilobytes per second.

3. Determine the time for transferring a file of 9 kilobytes through a connection at a speed of 0.375 kilobytes per second: 9 / 0.375 = 24.

Answer: 24 seconds.

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