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On Monday Elton arrived at the recording studio at 8:00 am

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On Monday Elton arrived at the recording studio at 8:00 am [#permalink] New post 29 Jul 2012, 13:19
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On Monday Elton arrived at the recording studio at 8:00 am, and left at noon (12:00 pm), after he had finished recording \frac{5}{9} of his new album. On Tuesday he arrived at 8:10 am, and left after he had completed recording the entire album, while working at the same rate as the day before. At what time did Elton leave the recording studio on Tuesday?

A. 11:12 am
B. 11:22 am
C. 11:30 am
D. 3:12 pm
E. 3:22 pm
[Reveal] Spoiler: OA
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Re: On Monday Elton arrived at the recording studio at 8:00 am [#permalink] New post 29 Jul 2012, 14:18
Expert's post
superpus07 wrote:
On Monday Elton arrived at the recording studio at 8:00 am, and left at noon (12:00 pm), after he had finished recording \frac{5}{9} of his new album. On Tuesday he arrived at 8:10 am, and left after he had completed recording the entire album, while working at the same rate as the day before. At what time did Elton leave the recording studio on Tuesday?

A. 11:12 am
B. 11:22 am
C. 11:30 am
D. 3:12 pm
E. 3:22 pm


Given that 5 parts of the work was done in 4 hours and 4 parts remain to be done. Now, since 5 parts need 4 hours, then 4 parts will need 4/5*4 = 16/5 hours = 3 hours and 12 minutes. Therefore, if the work on Tuesday started at 8:10 am, then it would be finished at 8:10 am + 3 hours and 12 minutes = 11:22 am.

Answer: B.

Hope it's clear.
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Re: On Monday Elton arrived at the recording studio at 8:00 am [#permalink] New post 29 Jul 2012, 14:26
Bunuel wrote:
superpus07 wrote:
On Monday Elton arrived at the recording studio at 8:00 am, and left at noon (12:00 pm), after he had finished recording \frac{5}{9} of his new album. On Tuesday he arrived at 8:10 am, and left after he had completed recording the entire album, while working at the same rate as the day before. At what time did Elton leave the recording studio on Tuesday?

A. 11:12 am
B. 11:22 am
C. 11:30 am
D. 3:12 pm
E. 3:22 pm


Given that 5 parts of the work was done in 4 hours and 4 parts remain to be done. Now, since 5 parts need 4 hours, then 4 parts will need 4/5*4 = 16/5 hours = 3 hours and 12 minutes. Therefore, if the work on Tuesday started at 8:10 am, then it would be finished at 8:10 am + 3 hours and 12 minutes = 11:22 am.

Answer: B.

Hope it's clear.



Thanks, but why not 4/9 parts?
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Re: On Monday Elton arrived at the recording studio at 8:00 am [#permalink] New post 29 Jul 2012, 14:28
Expert's post
superpus07 wrote:
Bunuel wrote:
superpus07 wrote:
On Monday Elton arrived at the recording studio at 8:00 am, and left at noon (12:00 pm), after he had finished recording \frac{5}{9} of his new album. On Tuesday he arrived at 8:10 am, and left after he had completed recording the entire album, while working at the same rate as the day before. At what time did Elton leave the recording studio on Tuesday?

A. 11:12 am
B. 11:22 am
C. 11:30 am
D. 3:12 pm
E. 3:22 pm


Given that 5 parts of the work was done in 4 hours and 4 parts remain to be done. Now, since 5 parts need 4 hours, then 4 parts will need 4/5*4 = 16/5 hours = 3 hours and 12 minutes. Therefore, if the work on Tuesday started at 8:10 am, then it would be finished at 8:10 am + 3 hours and 12 minutes = 11:22 am.

Answer: B.

Hope it's clear.



Thanks, but why not 4/9 parts?


We are told that 5/9 of the work was done on Monday, so 5 parts out of 9 was done and 4 parts are left to be done.
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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

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Re: On Monday Elton arrived at the recording studio at 8:00 am [#permalink] New post 29 Jul 2012, 14:39
Bunuel wrote:

We are told that 5/9 of the work was done on Monday, so 5 parts out of 9 was done and 4 parts are left to be done.


What I'm thinking about is why is it 4/5*4 instead of 4/9*5? Clearly, I'm wrong. But I can't seem to grasp this particular part. Is it because we have to find how much 4 parts is over 5 parts in terms of time?
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Re: On Monday Elton arrived at the recording studio at 8:00 am [#permalink] New post 29 Jul 2012, 14:42
Expert's post
superpus07 wrote:
Bunuel wrote:

We are told that 5/9 of the work was done on Monday, so 5 parts out of 9 was done and 4 parts are left to be done.


What I'm thinking about is why is it 4/5*4 instead of 4/9*5? Clearly, I'm wrong. But I can't seem to grasp this particular part. Is it because we have to find how much 4 parts is over 5 parts in terms of time?


5 parts need 4 hour, so 1 part need 4/5 hours, which means that 4 parts need 4*(4/5) hours.
_________________

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

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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.


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Re: On Monday Elton arrived at the recording studio at 8:00 am [#permalink] New post 15 Nov 2012, 02:31
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Monday: 4 hours to do 5/9 of the work

\frac{1}{m}(4)=\frac{5}{9}
\frac{1}{m}=\frac{5}{36}

How many hours to finish the remaining 1-\frac{5}{9}=\frac{4}{9}

\frac{5}{36}(t)=\frac{4}{9}==>t=\frac{16}{5}=3\frac{1}{5}hours=3hrs12min

8:10 + 3hrs12min = 11:22
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Re: On Monday Elton arrived at the recording studio at 8:00 am   [#permalink] 15 Nov 2012, 02:31
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