At the average download speed of 12,000,000 bits per second : GMAT Problem Solving (PS)
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26 Nov 2012, 04:09
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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
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26 Nov 2012, 04:44
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tinashine20 wrote:
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

With the high-speed connection the task needs 50 seconds;
With the dial-up connection the same task needs 3 hours = 3*3,600 seconds.

Thus, dial-up connection is 3*3,600/50=216 times slower.

Since the speed of the the high-speed connection is 12,000,000 bits per second, then the speed of the dial-up connection is 12,000,000/216=~56,000 bits per second.

Hope it's clear.
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26 Nov 2012, 07:26
Bunuel wrote:
tinashine20 wrote:
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

With the high-speed connection the task needs 50 seconds;
With the dial-up connection the same task needs 3 hours = 3*3,600 seconds.

Thus, dial-up connection is 3*3,600/50=216 times slower.

Since the speed of the the high-speed connection is 12,000,000 bits per second, then the speed of the dial-up connection is 12,000,000/216=~56,000 bits per second.

Hope it's clear.

I have followed a different approach, could you explain me where I was wrong?

So we have to download 75,000,000 bits of data and with the dial-up connection is possible to do so in three hours.
Hence we have a speed of 75,000,000/3= 25,000,000 bites/hour.
Now dividing the 25,000,000 by 3600 (60 minutes * 60 seconds) the result is close to 7,000 bites/second.
Hence according to my calculations the answer should be C.
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26 Nov 2012, 08:25
jzpat wrote:
Bunuel wrote:
tinashine20 wrote:
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

With the high-speed connection the task needs 50 seconds;
With the dial-up connection the same task needs 3 hours = 3*3,600 seconds.

Thus, dial-up connection is 3*3,600/50=216 times slower.

Since the speed of the the high-speed connection is 12,000,000 bits per second, then the speed of the dial-up connection is 12,000,000/216=~56,000 bits per second.

Hope it's clear.

I have followed a different approach, could you explain me where I was wrong?

So we have to download 75,000,000 bits of data and with the dial-up connection is possible to do so in three hours.
Hence we have a speed of 75,000,000/3= 25,000,000 bites/hour.
Now dividing the 25,000,000 by 3600 (60 minutes * 60 seconds) the result is close to 7,000 bites/second.
Hence according to my calculations the answer should be C.

We need to find the download speed, in bits per second. You are calculating in bytes per second (notice that we are told that "75,000,000 bytes of data can be downloaded in ...").

1 byte = 8 bits --> ~7,000 bytes per second = 7,000*8 = 56,000 bits per second.

Hope it's clear.
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20 Apr 2015, 04:27
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