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At the average download speed of 12,000,000 bits per second

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At the average download speed of 12,000,000 bits per second [#permalink] New post 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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Re: At the average download speed [#permalink] New post 26 Nov 2012, 04:44
Expert's post
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.

Answer: D.

Hope it's clear.
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Re: At the average download speed [#permalink] New post 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.

Answer: D.

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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Re: At the average download speed [#permalink] New post 26 Nov 2012, 08:25
Expert's post
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.

Answer: D.

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.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

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Re: At the average download speed   [#permalink] 26 Nov 2012, 08:25
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At the average download speed of 12,000,000 bits per second

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