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

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by M7MBA » Sat Dec 02, 2017 5:18 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 5959 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

The OA is B.

I don't understand how to solve this PS question. Experts, may you explain this to me?
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by [email protected] » Sat Dec 02, 2017 11:55 am
Hi M7MBA,

We're told that Elton arrived on Monday at the recording studio at 8:00 am and left at noon (12:00 pm), after he had finished recording 5/9 of his new album. On Tuesday, he arrived at 8:10 am, and left after he had completed recording the rest of the album, while working at the same rate as the day before. We're asked to find the time that Elton left the recording studio on Tuesday.

Since we know it took 4 hours to record 5/9 of the album, we can set up a ratio to determine how long it took to record the remaining 4/9 of the album:

(4)/(5/9) = (X)/(4/9)
16/9 = 5X/9
16 = 5X
X = 3 1/5 hours = 3 hours 12 minutes

Since Elton began recording on Tuesday at 8:10am, he finished at 11:22am.

Final Answer: B

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by Scott@TargetTestPrep » Thu Jan 11, 2018 2:13 pm
M7MBA 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 5959 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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