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30 March, 12:12

A certain compact disc (CD) contains 783.216 megabytes of digital information. Each byte consists of exactly 8 bits. When played, a CD player reads the CD's information at a constant rate of 1.1 megabits per second. How many minutes does it take the player to read the entire CD?

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  1. 30 March, 14:25
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    Time takes the player to read the entire CD is 94.9 minutes.

    Explanation:

    compact disc (CD) contains 783.216 megabytes of digital information.

    Each byte consists of exactly 8 bits.

    constant rate of 1.1 megabits per second

    How many minutes does it take the player to read the entire CD?

    1 Megabites = 1000000 bites

    783.216 megabytes = 783216000 bites = 783216000 x 8 = 6265728000 bits

    1.1 megabits/s = 1100000 bits/s

    thus

    t = 6265728000 bits/1100000 bits/s

    = 5696 s

    = 94.9 min
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