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At the average download speed of 12,000,000 bits per second, 75,000,000 bytes of data can be downloaded in 50 seconds. With a certain dial-up connection, the same task would take 3 hours. Which of the following is closest to the average download speed, in bits per second, of this dial-up connection?
  • a)
    200
  • b)
    1,000
  • c)
    7,000
  • d)
    56,000
  • e)
    240,000
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
At the average download speed of 12,000,000 bits per second, 75,000,00...
To find the average download speed of the dial-up connection, we need to convert the given data into a common unit (bits per second).
First, let's calculate the number of bits in 75,000,000 bytes. Since 1 byte is equal to 8 bits, we can multiply 75,000,000 by 8 to get the total number of bits:
75,000,000 bytes * 8 bits/byte = 600,000,000 bits
Now, we can calculate the download speed of the dial-up connection. We are given that this same task takes 3 hours, which is equal to 3 * 60 * 60 = 10,800 seconds.
To find the average download speed, we divide the total number of bits by the time in seconds:
Average download speed = 600,000,000 bits / 10,800 seconds
Calculating this value gives us approximately 55,555.56 bits per second.
Among the answer choices provided, the closest value to the calculated average download speed is 56,000 bits per second (option D).
Therefore, the correct answer is D) 56,000.
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Most Upvoted Answer
At the average download speed of 12,000,000 bits per second, 75,000,00...
Understanding the Problem
To find the average download speed of the dial-up connection, we first need to establish the total data size and the time taken for the download.

Total Data Size
- The total amount of data to be downloaded is 75,000,000 bytes.

Data Conversion
- To convert bytes to bits:
- 1 byte = 8 bits
- Therefore, 75,000,000 bytes = 75,000,000 × 8 bits = 600,000,000 bits.

Time Taken by Dial-Up Connection
- The dial-up connection takes 3 hours to download the same amount of data.
- Convert hours to seconds:
- 3 hours = 3 × 60 minutes × 60 seconds = 10,800 seconds.

Calculating Average Download Speed
- Average download speed (in bits per second) is calculated using the formula:
Average Speed = Total Data Size / Time Taken
- Plug in the values:
Average Speed = 600,000,000 bits / 10,800 seconds
- Performing the calculation:
- Average Speed ≈ 55,555.56 bits per second.

Finding the Closest Option
- The closest option to 55,555.56 bits per second is 56,000 bits per second.

Conclusion
- Hence, the average download speed of the dial-up connection is closest to option 'D' (56,000 bits per second).
Free Test
Community Answer
At the average download speed of 12,000,000 bits per second, 75,000,00...
To find the average download speed of the dial-up connection, we need to convert the given data into a common unit (bits per second).
First, let's calculate the number of bits in 75,000,000 bytes. Since 1 byte is equal to 8 bits, we can multiply 75,000,000 by 8 to get the total number of bits:
75,000,000 bytes * 8 bits/byte = 600,000,000 bits
Now, we can calculate the download speed of the dial-up connection. We are given that this same task takes 3 hours, which is equal to 3 * 60 * 60 = 10,800 seconds.
To find the average download speed, we divide the total number of bits by the time in seconds:
Average download speed = 600,000,000 bits / 10,800 seconds
Calculating this value gives us approximately 55,555.56 bits per second.
Among the answer choices provided, the closest value to the calculated average download speed is 56,000 bits per second (option D).
Therefore, the correct answer is D) 56,000.
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At the average download speed of 12,000,000 bits per second, 75,000,000 bytes of data can be downloaded in 50 seconds. With a certain dial-up connection, the same task would take 3 hours. Which of the following is closest to the average download speed, in bits per second, of this dial-up connection?a)200b)1,000c)7,000d)56,000e)240,000Correct answer is option 'D'. Can you explain this answer?
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