A 4000 KB file is transferred over a certain connection within 1 minute.

A 4000 KB file is transferred over a certain connection within 1 minute. Determine the file size (in KB) that can be transferred over this connection in 45 seconds.

First, let’s determine the speed of file transfer over this connection.

v = I1 / t1 = 4000 KB / 1 min = (4000 * 1024 * 8) bits / 60 s = (400 * 1024 * 4) / 3 bits / s.

The file size that can be transferred over this connection in 45 seconds is I2 = v * t2 = (400 * 1024 * 4) / 3 bit / s * 45 s = 24576000 bits = 24576000 / (1024 * 8) kB = 3000 kB.

Answer: The size of a file that can be transferred over this connection in 45 seconds is 3000 KB.



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