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31 October, 17:07

Suppose two hosts, A and B, are separated by 15,000 kilometers and are connected by a direct link of R = 5 Mbps. Suppose the propagation speed over the link is 2.5 * 108 meters/sec. How long does it take to send a 1,500,000 bit file, assuming it is sent continuously?

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  1. 31 October, 17:45
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    360 msec

    Explanation:

    Data provided in the question:

    Distance between the two hosts = 15,000 kilometer

    = 1.5 * 10⁷ m [ ∵ 1 km = 1000 m ]

    Transmission rate, R = 5 Mbps = 5 * 10⁶ bits per second

    Propagation speed over the link = 2.5 * 10⁸ meters/sec

    Size of file to be sent = 1,500,000 bit

    Now,

    Propagation delay (dprop)

    = Distance : Speed

    = (1.5 * 10⁷) : (2.5 * 10⁸)

    = 0.06 sec

    = 60 msec [ ∵ 1 sec = 1000 millisecond ]

    Transmission delay (dtrans)

    = Size of file : Rate of transmission

    = 1500000 : (5 * 10⁶)

    = 0.3 sec

    = 300 msec

    Therefore,

    Time required for transmitting the file

    = Propagation delay + Transmission delay

    = 60 msec + 300 msec

    = 360 msec
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