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On Monday Elton arrived at the recording studio at 8:00 am [#permalink]

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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

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.

Re: On Monday Elton arrived at the recording studio at 8:00 am [#permalink]

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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.

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.
_________________

Re: On Monday Elton arrived at the recording studio at 8:00 am [#permalink]

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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?

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.
_________________

Re: On Monday Elton arrived at the recording studio at 8:00 am [#permalink]

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14 Jan 2015, 15:06

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If you're ever confused by "fractional data" that includes measurements (in this case, "hours"), you might be able to avoid doing "fractional math" by converting units. Here's how:

We're told that it takes 4 hours to complete 5/9 of a job.

4 hours = 4(60) = 240 minutes to complete 5/9 of a job

Since 240 = (5/9) of the job 240/5 = 1/9 of the job 48 minutes = 1/9 of the job

From here, figuring out how long it will take to finish the final 4/9 of the job won't be too tough..

48(4) = 192 minutes = 4/9 of the job

192 minutes = 3 hours 12 minutes

It's important to note that we're starting from 8:10 am, so an additional 3 hours 12 minutes takes us to 11:22am

Re: On Monday Elton arrived at the recording studio at 8:00 am [#permalink]

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14 Nov 2015, 12:27

he completed 5/9 in 4 hours. knowing this, we can calculate his rate in 1 hour or 5/9*1/4 = 5/36. Each hour, he completes 5 parts of the work. since he worked for 4 hours, he completed 20 parts of the work, leaving 16 parts for the next day. now this gets interesting. 16 parts that's slightly more than 3 hours. We can eliminate answer choices D and E. since 16/5 = 3 with a remainder 1, we can calculate that 1/5 of an hour is 12 minutes. Since he started working on the album at 8:10 AM, after 3hours 12 minutes he finished. 10+12 = 22, thus it must be B, 11:22.

Re: On Monday Elton arrived at the recording studio at 8:00 am [#permalink]

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05 Jul 2016, 07:44

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

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