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Bunuel
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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

Elton completed \(\frac{5}{9}\) of the work in 4 hours on Monday.

=> Working at the same rate he can complete \(\frac{4}{9}\) of the work in: \(\frac{4}{9}\) * 4/\(\frac{5}{9}\) = 3.2 hours

So, on Tuesday, Elton left after 3.2 hours = 3 hours 12 minutes => 8:10 + 3:12 = 11:22 am

So, correct answer is option B.
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Given: 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.

Asked: At what time did Elton leave the recording studio on Tuesday?

Let us assume that x is the complete work of recording the new album.

Monday : -
Time worked = 4 hours
Work performed = 5x/9
Rate = 5x/9*4 = 5x/36

Tuesday : -
Rate = 5x/36
Work performed = x - 5x/9 = 4x/9
Time worked = (4x/9)/(5x/36) = 3.2 hours = 3 hours 12 minutes
Time Elton left = 8:10 + 3:12 = 11:22 am

IMO B
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