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It takes Cassie fourteen minutes to load a certain video o

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It takes Cassie fourteen minutes to load a certain video o [#permalink] New post 28 Feb 2013, 05:20
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Question Stats:

62% (02:09) correct 37% (00:38) wrong based on 6 sessions
It takes Cassie fourteen minutes to load a certain video on her cellphone, and fourteen seconds to load that same video on her laptop. If Cassie could connect the two devices so that they operated in concert at their respective rates, how long would it take them to load the video, rounded to the nearest hundredth?

A. 7.17 seconds
B. 9.12 seconds
C. 11.44 seconds
D. 13.77 seconds
E. 14.00 seconds
[Reveal] Spoiler: OA

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Last edited by Bunuel on 28 Feb 2013, 06:04, edited 1 time in total.
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Re: It takes Cassie fourteen minutes to load a certain video o [#permalink] New post 28 Feb 2013, 06:13
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emmak wrote:
It takes Cassie fourteen minutes to load a certain video on her cellphone, and fourteen seconds to load that same video on her laptop. If Cassie could connect the two devices so that they operated in concert at their respective rates, how long would it take them to load the video, rounded to the nearest hundredth?

A. 7.17 seconds
B. 9.12 seconds
C. 11.44 seconds
D. 13.77 seconds
E. 14.00 seconds


Cellphone rate = 1/(14*60) job/second;
Laptop rate = 1/14 job/second;

Combined rate 1/(14*60) + 1/14 = 1/t --> t = ~13.77 seconds.

Answer: D.

5-second approach: since the laptop rate is 60 times (!) as high as the cellphone rate (so much higher) then the time needed for both of them working together to complete the task would be just a little less than the time needed for the laptop operating alone (slow cellphone won't help much). Only D fits.

Hope it's clear.
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Re: It takes Cassie fourteen minutes to load a certain video o [#permalink] New post 28 Feb 2013, 07:29
Yes. I also chose the ans with approximation guess. As it is clear the majority of the download will be done by laptop but phone will also do very small portion of work. Therefore, ans should be less than 14 sec but should be very close to 14 sec i.e. 13.77
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Re: It takes Cassie fourteen minutes to load a certain video o   [#permalink] 28 Feb 2013, 07:29
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