A fiber-optic internet connection downloads data at a constant rate of 40 megabits per sec… — SAT

A fiber-optic internet connection downloads data at a constant rate of $40$ megabits per second. There are $8$ megabits in $1$ megabyte and $1,000$ megabytes in $1$ gigabyte. At this rate, how many gigabytes of data can the connection download in $1$ hour?

Answer: 18 gigabytes

Answer

The connection can download 18 gigabytes of data in 1 hour.

First, convert the download rate from megabits per second to megabytes per second:

40 \div 8 = 5

megabytes per second. Next, find the number of seconds in

1

hour:

60 \text{ minutes} \times 60 \text{ seconds} = 3,600

seconds. Multiply the rate in megabytes per second by the number of seconds in an hour to find the total megabytes downloaded:

5 \times 3,600 = 18,000

megabytes. Finally, convert megabytes to gigabytes:

18,000 \div 1,000 = 18

gigabytes.

Step-by-Step Solution

Convert the download speed from megabits per second to megabytes per second.

5

megabytes per second

Since

8\text{ megabits} = 1\text{ megabyte}

, divide

40

megabits per second by

8

Calculate the total number of seconds in

1

hour.

3,600

seconds

Since there are

60

minutes in

1

hour and

60

seconds in

1

minute, multiply

60

60

Determine the total megabytes downloaded in

1

hour.

18,000

megabytes

Multiply the rate of

5

megabytes per second by the elapsed time of

3,600

seconds.

Convert the total megabytes to gigabytes.

18

gigabytes

Since

1,000\text{ megabytes} = 1\text{ gigabyte}

, divide

18,000

megabytes by

1,000

Key Concept

Unit Conversions

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