A CD-ROM can hold 650 Mbytes of information. Suppose the CD-ROMs are packed 50 per box. The manufacturer ships 100 boxes via commercial airliner from Los Angeles to New York. The distance between the two cities is 2,500 mi by air, and the airliner flies at a speed of 400 mi/h. What is the data transmission rate between the two cities in bits per second?
Known quantities:
The information held in a CD-ROM, 650 MB. The CD-ROM are packaged 50 per box, and 100 boxes are shipped. The distance for the trip is 2,500 miles and the airplane speed is 400 mi/hr.
Find:
The transmission rate between the two cities in bits/s.
Analysis:
A CD-ROM that can hold 650 Mbytes of information can be said to hold 5200 Mbits of information, since one byte equals eight bits. If there are 50 CDs in a box and 100 boxes are shipped in a commercial airliner, the number of bits of information being carried from Los Angeles to New York is (5200)(50)(100) = 26000000 Mbits. Since the distance between cities is given as 2500 mi and the speed at which the aircraft flies is 400 mi/hr, it takes 2500/400 = 6.25 hr transfer the number of bits between the two cities. Therefore the transmission rate is
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