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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]

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New post 29 Jul 2012, 14:19
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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
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Re: On Monday Elton arrived at the recording studio at 8:00 am  [#permalink]

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New post 29 Jul 2012, 15:18
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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]

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New post 29 Jul 2012, 15:26
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]

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New post 29 Jul 2012, 15:28
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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Re: On Monday Elton arrived at the recording studio at 8:00 am  [#permalink]

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New post 29 Jul 2012, 15:39
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]

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New post 29 Jul 2012, 15:42
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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Re: On Monday Elton arrived at the recording studio at 8:00 am  [#permalink]

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New post 15 Nov 2012, 03:31
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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]

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New post 14 Jan 2015, 16:59
Hi All,

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

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

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New post 14 Jan 2015, 19:10
On Monday, took 240 minutes to complete 5/9 album

Time required to complete remaining album \(= (1 - \frac{5}{9}) * 240 * \frac{9}{5} = 192 minutes\)

192 minutes = 3 hours 12 minutes

Counting from 8:10AM = 11:10AM + 12 minutes = 11:22 Minutes

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

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New post 14 Nov 2015, 13:27
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.
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Re: On Monday Elton arrived at the recording studio at 8:00 am  [#permalink]

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New post 05 Jul 2016, 08:44
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


Working rate is same, as per the question.
So,

\(\frac{5}{9} * \frac{1}{4} = \frac{4}{9} * \frac{1}{t}\)

where \(\frac{4}{9}\) is the remaining job and t = time taken to complete remaining job.

so, we get t = \(\frac{16}{5}\) i.e. 3 hrs and 12 mins, hence B is the answer
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Re: On Monday Elton arrived at the recording studio at 8:00 am  [#permalink]

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New post 11 Jan 2018, 15:02
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


We can create a proportion in which we let n = the time to complete the album:

(5/9)/4 = (4/9)/n

5/36 = 4/(9n)

45n = 144

n = 144/45 = 16/5 = 3 1/5 hours = 3 hours and 12 minutes

Since he arrived at 8:10 am on Tuesday, he left at 11:22 am.

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

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New post 11 Jan 2018, 15:29
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


let t=tuesday hours
t/(4/9)=4/(5/9)
t=3.2 hrs=3 hrs 12 min
8:10 am+3:12=11:22 am
B
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On Monday Elton arrived at the recording studio at 8:00 am   [#permalink] 11 Jan 2018, 15:29
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